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Finding the Fourth Proportional to 10,462.52, 15,698.34 and 3,887.24

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Solution

The fourth proportional to 10,462.52, 15,698.34 and 3,887.24 is: 5,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.52 : 15,698.34 = 3,887.24 : x
  2. Step 2: Convert to fraction form
    10,462.52/15,698.34 = 3,887.24/x
  3. Step 3: Cross multiply
    10,462.52x = 15,698.34 × 3,887.24
  4. Step 4: Simplify right side
    10,462.52x = 61,023,215.18
  5. Step 5: Solve for x
    x = 61,023,215.18/10,462.52
  6. Step 6: Final answer
    x = 5,832.55

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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.