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Finding the Fourth Proportional to 8,195.19, 11,309.03 and 4,838.13

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Solution

The fourth proportional to 8,195.19, 11,309.03 and 4,838.13 is: 6,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.19 : 11,309.03 = 4,838.13 : x
  2. Step 2: Convert to fraction form
    8,195.19/11,309.03 = 4,838.13/x
  3. Step 3: Cross multiply
    8,195.19x = 11,309.03 × 4,838.13
  4. Step 4: Simplify right side
    8,195.19x = 54,714,533.12
  5. Step 5: Solve for x
    x = 54,714,533.12/8,195.19
  6. Step 6: Final answer
    x = 6,676.42

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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.