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Finding the Fourth Proportional to 10,470.96, 14,449.91 and 5,755.32

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Solution

The fourth proportional to 10,470.96, 14,449.91 and 5,755.32 is: 7,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.96 : 14,449.91 = 5,755.32 : x
  2. Step 2: Convert to fraction form
    10,470.96/14,449.91 = 5,755.32/x
  3. Step 3: Cross multiply
    10,470.96x = 14,449.91 × 5,755.32
  4. Step 4: Simplify right side
    10,470.96x = 83,163,827.24
  5. Step 5: Solve for x
    x = 83,163,827.24/10,470.96
  6. Step 6: Final answer
    x = 7,942.33

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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.