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Finding the Fourth Proportional to 7,614.64, 11,421.92 and 3,917.92

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Solution

The fourth proportional to 7,614.64, 11,421.92 and 3,917.92 is: 5,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.64 : 11,421.92 = 3,917.92 : x
  2. Step 2: Convert to fraction form
    7,614.64/11,421.92 = 3,917.92/x
  3. Step 3: Cross multiply
    7,614.64x = 11,421.92 × 3,917.92
  4. Step 4: Simplify right side
    7,614.64x = 44,750,168.81
  5. Step 5: Solve for x
    x = 44,750,168.81/7,614.64
  6. Step 6: Final answer
    x = 5,876.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.