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Finding the Fourth Proportional to 8,152.52, 12,228.78 and 5,249.28

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Solution

The fourth proportional to 8,152.52, 12,228.78 and 5,249.28 is: 7,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.52 : 12,228.78 = 5,249.28 : x
  2. Step 2: Convert to fraction form
    8,152.52/12,228.78 = 5,249.28/x
  3. Step 3: Cross multiply
    8,152.52x = 12,228.78 × 5,249.28
  4. Step 4: Simplify right side
    8,152.52x = 64,192,290.28
  5. Step 5: Solve for x
    x = 64,192,290.28/8,152.52
  6. Step 6: Final answer
    x = 7,873.92

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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.