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Finding the Fourth Proportional to 8,228.52, 11,353.77 and 4,691.64

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Solution

The fourth proportional to 8,228.52, 11,353.77 and 4,691.64 is: 6,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.52 : 11,353.77 = 4,691.64 : x
  2. Step 2: Convert to fraction form
    8,228.52/11,353.77 = 4,691.64/x
  3. Step 3: Cross multiply
    8,228.52x = 11,353.77 × 4,691.64
  4. Step 4: Simplify right side
    8,228.52x = 53,267,801.48
  5. Step 5: Solve for x
    x = 53,267,801.48/8,228.52
  6. Step 6: Final answer
    x = 6,473.56

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