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Finding the Fourth Proportional to 11,542.71, 17,315.28 and 5,693.70

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Solution

The fourth proportional to 11,542.71, 17,315.28 and 5,693.70 is: 8,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.71 : 17,315.28 = 5,693.70 : x
  2. Step 2: Convert to fraction form
    11,542.71/17,315.28 = 5,693.70/x
  3. Step 3: Cross multiply
    11,542.71x = 17,315.28 × 5,693.70
  4. Step 4: Simplify right side
    11,542.71x = 98,588,009.74
  5. Step 5: Solve for x
    x = 98,588,009.74/11,542.71
  6. Step 6: Final answer
    x = 8,541.15

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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.