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Finding the Fourth Proportional to 10,470.85, 14,449.24 and 5,755.30

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Solution

The fourth proportional to 10,470.85, 14,449.24 and 5,755.30 is: 7,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.85 : 14,449.24 = 5,755.30 : x
  2. Step 2: Convert to fraction form
    10,470.85/14,449.24 = 5,755.30/x
  3. Step 3: Cross multiply
    10,470.85x = 14,449.24 × 5,755.30
  4. Step 4: Simplify right side
    10,470.85x = 83,159,710.97
  5. Step 5: Solve for x
    x = 83,159,710.97/10,470.85
  6. Step 6: Final answer
    x = 7,942.02

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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.