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Finding the Fourth Proportional to 11,371.29, 15,694.79 and 7,643.13

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Solution

The fourth proportional to 11,371.29, 15,694.79 and 7,643.13 is: 10,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.29 : 15,694.79 = 7,643.13 : x
  2. Step 2: Convert to fraction form
    11,371.29/15,694.79 = 7,643.13/x
  3. Step 3: Cross multiply
    11,371.29x = 15,694.79 × 7,643.13
  4. Step 4: Simplify right side
    11,371.29x = 119,957,320.29
  5. Step 5: Solve for x
    x = 119,957,320.29/11,371.29
  6. Step 6: Final answer
    x = 10,549.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.