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Finding the Fourth Proportional to 11,753.29, 17,607.17 and 7,312.71

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Solution

The fourth proportional to 11,753.29, 17,607.17 and 7,312.71 is: 10,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.29 : 17,607.17 = 7,312.71 : x
  2. Step 2: Convert to fraction form
    11,753.29/17,607.17 = 7,312.71/x
  3. Step 3: Cross multiply
    11,753.29x = 17,607.17 × 7,312.71
  4. Step 4: Simplify right side
    11,753.29x = 128,756,128.13
  5. Step 5: Solve for x
    x = 128,756,128.13/11,753.29
  6. Step 6: Final answer
    x = 10,954.90

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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.