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Finding the Fourth Proportional to 8,778.24, 12,122.06 and 5,639.90

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Solution

The fourth proportional to 8,778.24, 12,122.06 and 5,639.90 is: 7,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.24 : 12,122.06 = 5,639.90 : x
  2. Step 2: Convert to fraction form
    8,778.24/12,122.06 = 5,639.90/x
  3. Step 3: Cross multiply
    8,778.24x = 12,122.06 × 5,639.90
  4. Step 4: Simplify right side
    8,778.24x = 68,367,117.38
  5. Step 5: Solve for x
    x = 68,367,117.38/8,778.24
  6. Step 6: Final answer
    x = 7,788.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.