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Finding the Fourth Proportional to 6,864.16, 10,287.20 and 3,745.52

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Solution

The fourth proportional to 6,864.16, 10,287.20 and 3,745.52 is: 5,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.16 : 10,287.20 = 3,745.52 : x
  2. Step 2: Convert to fraction form
    6,864.16/10,287.20 = 3,745.52/x
  3. Step 3: Cross multiply
    6,864.16x = 10,287.20 × 3,745.52
  4. Step 4: Simplify right side
    6,864.16x = 38,530,913.34
  5. Step 5: Solve for x
    x = 38,530,913.34/6,864.16
  6. Step 6: Final answer
    x = 5,613.35

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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.