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Finding the Fourth Proportional to 10,499.92, 15,751.32 and 3,104.96

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Solution

The fourth proportional to 10,499.92, 15,751.32 and 3,104.96 is: 4,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.92 : 15,751.32 = 3,104.96 : x
  2. Step 2: Convert to fraction form
    10,499.92/15,751.32 = 3,104.96/x
  3. Step 3: Cross multiply
    10,499.92x = 15,751.32 × 3,104.96
  4. Step 4: Simplify right side
    10,499.92x = 48,907,218.55
  5. Step 5: Solve for x
    x = 48,907,218.55/10,499.92
  6. Step 6: Final answer
    x = 4,657.87

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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.