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Finding the Fourth Proportional to 10,230.92, 15,336.12 and 6,537.32

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Solution

The fourth proportional to 10,230.92, 15,336.12 and 6,537.32 is: 9,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.92 : 15,336.12 = 6,537.32 : x
  2. Step 2: Convert to fraction form
    10,230.92/15,336.12 = 6,537.32/x
  3. Step 3: Cross multiply
    10,230.92x = 15,336.12 × 6,537.32
  4. Step 4: Simplify right side
    10,230.92x = 100,257,124.00
  5. Step 5: Solve for x
    x = 100,257,124.00/10,230.92
  6. Step 6: Final answer
    x = 9,799.42

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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.