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Finding the Fourth Proportional to 10,966.77, 15,127.92 and 6,489.81

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Solution

The fourth proportional to 10,966.77, 15,127.92 and 6,489.81 is: 8,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.77 : 15,127.92 = 6,489.81 : x
  2. Step 2: Convert to fraction form
    10,966.77/15,127.92 = 6,489.81/x
  3. Step 3: Cross multiply
    10,966.77x = 15,127.92 × 6,489.81
  4. Step 4: Simplify right side
    10,966.77x = 98,177,326.50
  5. Step 5: Solve for x
    x = 98,177,326.50/10,966.77
  6. Step 6: Final answer
    x = 8,952.26

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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.