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Finding the Fourth Proportional to 8,472.24, 12,710.52 and 3,858.48

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Solution

The fourth proportional to 8,472.24, 12,710.52 and 3,858.48 is: 5,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.24 : 12,710.52 = 3,858.48 : x
  2. Step 2: Convert to fraction form
    8,472.24/12,710.52 = 3,858.48/x
  3. Step 3: Cross multiply
    8,472.24x = 12,710.52 × 3,858.48
  4. Step 4: Simplify right side
    8,472.24x = 49,043,287.21
  5. Step 5: Solve for x
    x = 49,043,287.21/8,472.24
  6. Step 6: Final answer
    x = 5,788.70

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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.