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Finding the Fourth Proportional to 7,665.76, 11,498.16 and 2,471.20

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Solution

The fourth proportional to 7,665.76, 11,498.16 and 2,471.20 is: 3,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.76 : 11,498.16 = 2,471.20 : x
  2. Step 2: Convert to fraction form
    7,665.76/11,498.16 = 2,471.20/x
  3. Step 3: Cross multiply
    7,665.76x = 11,498.16 × 2,471.20
  4. Step 4: Simplify right side
    7,665.76x = 28,414,252.99
  5. Step 5: Solve for x
    x = 28,414,252.99/7,665.76
  6. Step 6: Final answer
    x = 3,706.65

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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.