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Finding the Fourth Proportional to 10,462.52, 15,693.78 and 2,671.33

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Solution

The fourth proportional to 10,462.52, 15,693.78 and 2,671.33 is: 4,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.52 : 15,693.78 = 2,671.33 : x
  2. Step 2: Convert to fraction form
    10,462.52/15,693.78 = 2,671.33/x
  3. Step 3: Cross multiply
    10,462.52x = 15,693.78 × 2,671.33
  4. Step 4: Simplify right side
    10,462.52x = 41,923,265.33
  5. Step 5: Solve for x
    x = 41,923,265.33/10,462.52
  6. Step 6: Final answer
    x = 4,007.00

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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.