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Finding the Fourth Proportional to 10,470.56, 15,685.08 and 6,311.66

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Solution

The fourth proportional to 10,470.56, 15,685.08 and 6,311.66 is: 9,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.56 : 15,685.08 = 6,311.66 : x
  2. Step 2: Convert to fraction form
    10,470.56/15,685.08 = 6,311.66/x
  3. Step 3: Cross multiply
    10,470.56x = 15,685.08 × 6,311.66
  4. Step 4: Simplify right side
    10,470.56x = 98,998,892.03
  5. Step 5: Solve for x
    x = 98,998,892.03/10,470.56
  6. Step 6: Final answer
    x = 9,454.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.