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Finding the Fourth Proportional to 10,357.52, 15,532.86 and 4,119.08

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Solution

The fourth proportional to 10,357.52, 15,532.86 and 4,119.08 is: 6,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.52 : 15,532.86 = 4,119.08 : x
  2. Step 2: Convert to fraction form
    10,357.52/15,532.86 = 4,119.08/x
  3. Step 3: Cross multiply
    10,357.52x = 15,532.86 × 4,119.08
  4. Step 4: Simplify right side
    10,357.52x = 63,981,092.97
  5. Step 5: Solve for x
    x = 63,981,092.97/10,357.52
  6. Step 6: Final answer
    x = 6,177.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.