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Finding the Fourth Proportional to 10,138.92, 15,235.38 and 5,462.52

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Solution

The fourth proportional to 10,138.92, 15,235.38 and 5,462.52 is: 8,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.92 : 15,235.38 = 5,462.52 : x
  2. Step 2: Convert to fraction form
    10,138.92/15,235.38 = 5,462.52/x
  3. Step 3: Cross multiply
    10,138.92x = 15,235.38 × 5,462.52
  4. Step 4: Simplify right side
    10,138.92x = 83,223,567.96
  5. Step 5: Solve for x
    x = 83,223,567.96/10,138.92
  6. Step 6: Final answer
    x = 8,208.33

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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.