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Finding the Fourth Proportional to 8,301.36, 12,452.04 and 7,794.48

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Solution

The fourth proportional to 8,301.36, 12,452.04 and 7,794.48 is: 11,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.36 : 12,452.04 = 7,794.48 : x
  2. Step 2: Convert to fraction form
    8,301.36/12,452.04 = 7,794.48/x
  3. Step 3: Cross multiply
    8,301.36x = 12,452.04 × 7,794.48
  4. Step 4: Simplify right side
    8,301.36x = 97,057,176.74
  5. Step 5: Solve for x
    x = 97,057,176.74/8,301.36
  6. Step 6: Final answer
    x = 11,691.72

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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.