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Finding the Fourth Proportional to 10,481.79, 14,458.53 and 6,449.30

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Solution

The fourth proportional to 10,481.79, 14,458.53 and 6,449.30 is: 8,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.79 : 14,458.53 = 6,449.30 : x
  2. Step 2: Convert to fraction form
    10,481.79/14,458.53 = 6,449.30/x
  3. Step 3: Cross multiply
    10,481.79x = 14,458.53 × 6,449.30
  4. Step 4: Simplify right side
    10,481.79x = 93,247,397.53
  5. Step 5: Solve for x
    x = 93,247,397.53/10,481.79
  6. Step 6: Final answer
    x = 8,896.13

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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.