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Finding the Fourth Proportional to 8,974.72, 12,380.88 and 5,829.76

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Solution

The fourth proportional to 8,974.72, 12,380.88 and 5,829.76 is: 8,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.72 : 12,380.88 = 5,829.76 : x
  2. Step 2: Convert to fraction form
    8,974.72/12,380.88 = 5,829.76/x
  3. Step 3: Cross multiply
    8,974.72x = 12,380.88 × 5,829.76
  4. Step 4: Simplify right side
    8,974.72x = 72,177,558.99
  5. Step 5: Solve for x
    x = 72,177,558.99/8,974.72
  6. Step 6: Final answer
    x = 8,042.32

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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.