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Finding the Fourth Proportional to 10,508.92, 15,765.68 and 3,113.96

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Solution

The fourth proportional to 10,508.92, 15,765.68 and 3,113.96 is: 4,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.92 : 15,765.68 = 3,113.96 : x
  2. Step 2: Convert to fraction form
    10,508.92/15,765.68 = 3,113.96/x
  3. Step 3: Cross multiply
    10,508.92x = 15,765.68 × 3,113.96
  4. Step 4: Simplify right side
    10,508.92x = 49,093,625.85
  5. Step 5: Solve for x
    x = 49,093,625.85/10,508.92
  6. Step 6: Final answer
    x = 4,671.62

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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.