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Finding the Fourth Proportional to 8,649,398.31, 11,936,418.84 and 4,782,169.14

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Solution

The fourth proportional to 8,649,398.31, 11,936,418.84 and 4,782,169.14 is: 6,599,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649,398.31 : 11,936,418.84 = 4,782,169.14 : x
  2. Step 2: Convert to fraction form
    8,649,398.31/11,936,418.84 = 4,782,169.14/x
  3. Step 3: Cross multiply
    8,649,398.31x = 11,936,418.84 × 4,782,169.14
  4. Step 4: Simplify right side
    8,649,398.31x = 57,081,973,818,762.59
  5. Step 5: Solve for x
    x = 57,081,973,818,762.59/8,649,398.31
  6. Step 6: Final answer
    x = 6,599,531.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.