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Finding the Fourth Proportional to 11,382.81, 15,710.28 and 8,689.61

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Solution

The fourth proportional to 11,382.81, 15,710.28 and 8,689.61 is: 11,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.81 : 15,710.28 = 8,689.61 : x
  2. Step 2: Convert to fraction form
    11,382.81/15,710.28 = 8,689.61/x
  3. Step 3: Cross multiply
    11,382.81x = 15,710.28 × 8,689.61
  4. Step 4: Simplify right side
    11,382.81x = 136,516,127.64
  5. Step 5: Solve for x
    x = 136,516,127.64/11,382.81
  6. Step 6: Final answer
    x = 11,993.18

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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.