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Finding the Fourth Proportional to 11,053.13, 15,253.31 and 6,340.14

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Solution

The fourth proportional to 11,053.13, 15,253.31 and 6,340.14 is: 8,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.13 : 15,253.31 = 6,340.14 : x
  2. Step 2: Convert to fraction form
    11,053.13/15,253.31 = 6,340.14/x
  3. Step 3: Cross multiply
    11,053.13x = 15,253.31 × 6,340.14
  4. Step 4: Simplify right side
    11,053.13x = 96,708,136.71
  5. Step 5: Solve for x
    x = 96,708,136.71/11,053.13
  6. Step 6: Final answer
    x = 8,749.39

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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.