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Finding the Fourth Proportional to 10,660.28, 14,711.03 and 6,184.79

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Solution

The fourth proportional to 10,660.28, 14,711.03 and 6,184.79 is: 8,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.28 : 14,711.03 = 6,184.79 : x
  2. Step 2: Convert to fraction form
    10,660.28/14,711.03 = 6,184.79/x
  3. Step 3: Cross multiply
    10,660.28x = 14,711.03 × 6,184.79
  4. Step 4: Simplify right side
    10,660.28x = 90,984,557.68
  5. Step 5: Solve for x
    x = 90,984,557.68/10,660.28
  6. Step 6: Final answer
    x = 8,534.91

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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.