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Finding the Fourth Proportional to 10,449.85, 14,420.68 and 5,734.13

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Solution

The fourth proportional to 10,449.85, 14,420.68 and 5,734.13 is: 7,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.85 : 14,420.68 = 5,734.13 : x
  2. Step 2: Convert to fraction form
    10,449.85/14,420.68 = 5,734.13/x
  3. Step 3: Cross multiply
    10,449.85x = 14,420.68 × 5,734.13
  4. Step 4: Simplify right side
    10,449.85x = 82,690,053.81
  5. Step 5: Solve for x
    x = 82,690,053.81/10,449.85
  6. Step 6: Final answer
    x = 7,913.04

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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.