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Finding the Fourth Proportional to 7,704.39, 10,614.04 and 6,373.96

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Solution

The fourth proportional to 7,704.39, 10,614.04 and 6,373.96 is: 8,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.39 : 10,614.04 = 6,373.96 : x
  2. Step 2: Convert to fraction form
    7,704.39/10,614.04 = 6,373.96/x
  3. Step 3: Cross multiply
    7,704.39x = 10,614.04 × 6,373.96
  4. Step 4: Simplify right side
    7,704.39x = 67,653,466.40
  5. Step 5: Solve for x
    x = 67,653,466.40/7,704.39
  6. Step 6: Final answer
    x = 8,781.16

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Why These Related Problems?

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