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Finding the Fourth Proportional to 11,500.92, 15,870.28 and 6,464.76

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Solution

The fourth proportional to 11,500.92, 15,870.28 and 6,464.76 is: 8,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.92 : 15,870.28 = 6,464.76 : x
  2. Step 2: Convert to fraction form
    11,500.92/15,870.28 = 6,464.76/x
  3. Step 3: Cross multiply
    11,500.92x = 15,870.28 × 6,464.76
  4. Step 4: Simplify right side
    11,500.92x = 102,597,551.33
  5. Step 5: Solve for x
    x = 102,597,551.33/11,500.92
  6. Step 6: Final answer
    x = 8,920.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.