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Finding the Fourth Proportional to 8,821.72, 12,177.84 and 5,639.20

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Solution

The fourth proportional to 8,821.72, 12,177.84 and 5,639.20 is: 7,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.72 : 12,177.84 = 5,639.20 : x
  2. Step 2: Convert to fraction form
    8,821.72/12,177.84 = 5,639.20/x
  3. Step 3: Cross multiply
    8,821.72x = 12,177.84 × 5,639.20
  4. Step 4: Simplify right side
    8,821.72x = 68,673,275.33
  5. Step 5: Solve for x
    x = 68,673,275.33/8,821.72
  6. Step 6: Final answer
    x = 7,784.57

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