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Finding the Fourth Proportional to 10,448.43, 15,672.75 and 2,657.24

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Solution

The fourth proportional to 10,448.43, 15,672.75 and 2,657.24 is: 3,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.43 : 15,672.75 = 2,657.24 : x
  2. Step 2: Convert to fraction form
    10,448.43/15,672.75 = 2,657.24/x
  3. Step 3: Cross multiply
    10,448.43x = 15,672.75 × 2,657.24
  4. Step 4: Simplify right side
    10,448.43x = 41,646,244.92
  5. Step 5: Solve for x
    x = 41,646,244.92/10,448.43
  6. Step 6: Final answer
    x = 3,985.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.