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Finding the Fourth Proportional to 10,470.86, 14,449.42 and 5,755.11

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Solution

The fourth proportional to 10,470.86, 14,449.42 and 5,755.11 is: 7,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.86 : 14,449.42 = 5,755.11 : x
  2. Step 2: Convert to fraction form
    10,470.86/14,449.42 = 5,755.11/x
  3. Step 3: Cross multiply
    10,470.86x = 14,449.42 × 5,755.11
  4. Step 4: Simplify right side
    10,470.86x = 83,158,001.54
  5. Step 5: Solve for x
    x = 83,158,001.54/10,470.86
  6. Step 6: Final answer
    x = 7,941.85

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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.