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Finding the Fourth Proportional to 10,462.57, 15,693.84 and 2,671.39

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Solution

The fourth proportional to 10,462.57, 15,693.84 and 2,671.39 is: 4,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.57 : 15,693.84 = 2,671.39 : x
  2. Step 2: Convert to fraction form
    10,462.57/15,693.84 = 2,671.39/x
  3. Step 3: Cross multiply
    10,462.57x = 15,693.84 × 2,671.39
  4. Step 4: Simplify right side
    10,462.57x = 41,924,367.24
  5. Step 5: Solve for x
    x = 41,924,367.24/10,462.57
  6. Step 6: Final answer
    x = 4,007.08

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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.