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Finding the Fourth Proportional to 8,357.72, 12,535.14 and 3,424.28

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Solution

The fourth proportional to 8,357.72, 12,535.14 and 3,424.28 is: 5,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.72 : 12,535.14 = 3,424.28 : x
  2. Step 2: Convert to fraction form
    8,357.72/12,535.14 = 3,424.28/x
  3. Step 3: Cross multiply
    8,357.72x = 12,535.14 × 3,424.28
  4. Step 4: Simplify right side
    8,357.72x = 42,923,829.20
  5. Step 5: Solve for x
    x = 42,923,829.20/8,357.72
  6. Step 6: Final answer
    x = 5,135.83

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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.