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Finding the Fourth Proportional to 10,660.78, 14,711.72 and 6,185.28

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Solution

The fourth proportional to 10,660.78, 14,711.72 and 6,185.28 is: 8,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.78 : 14,711.72 = 6,185.28 : x
  2. Step 2: Convert to fraction form
    10,660.78/14,711.72 = 6,185.28/x
  3. Step 3: Cross multiply
    10,660.78x = 14,711.72 × 6,185.28
  4. Step 4: Simplify right side
    10,660.78x = 90,996,107.48
  5. Step 5: Solve for x
    x = 90,996,107.48/10,660.78
  6. Step 6: Final answer
    x = 8,535.60

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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.