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Finding the Fourth Proportional to 8,293.80, 12,442.83 and 5,027.88

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Solution

The fourth proportional to 8,293.80, 12,442.83 and 5,027.88 is: 7,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.80 : 12,442.83 = 5,027.88 : x
  2. Step 2: Convert to fraction form
    8,293.80/12,442.83 = 5,027.88/x
  3. Step 3: Cross multiply
    8,293.80x = 12,442.83 × 5,027.88
  4. Step 4: Simplify right side
    8,293.80x = 62,561,056.10
  5. Step 5: Solve for x
    x = 62,561,056.10/8,293.80
  6. Step 6: Final answer
    x = 7,543.11

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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.