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Finding the Fourth Proportional to 8,251.52, 12,369.96 and 3,056.20

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Solution

The fourth proportional to 8,251.52, 12,369.96 and 3,056.20 is: 4,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.52 : 12,369.96 = 3,056.20 : x
  2. Step 2: Convert to fraction form
    8,251.52/12,369.96 = 3,056.20/x
  3. Step 3: Cross multiply
    8,251.52x = 12,369.96 × 3,056.20
  4. Step 4: Simplify right side
    8,251.52x = 37,805,071.75
  5. Step 5: Solve for x
    x = 37,805,071.75/8,251.52
  6. Step 6: Final answer
    x = 4,581.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.