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Finding the Fourth Proportional to 7,078.77, 10,614.09 and 2,921.64

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Solution

The fourth proportional to 7,078.77, 10,614.09 and 2,921.64 is: 4,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.77 : 10,614.09 = 2,921.64 : x
  2. Step 2: Convert to fraction form
    7,078.77/10,614.09 = 2,921.64/x
  3. Step 3: Cross multiply
    7,078.77x = 10,614.09 × 2,921.64
  4. Step 4: Simplify right side
    7,078.77x = 31,010,549.91
  5. Step 5: Solve for x
    x = 31,010,549.91/7,078.77
  6. Step 6: Final answer
    x = 4,380.78

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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.