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Finding the Fourth Proportional to 8,861.61, 12,228.74 and 4,882.73

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Solution

The fourth proportional to 8,861.61, 12,228.74 and 4,882.73 is: 6,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.61 : 12,228.74 = 4,882.73 : x
  2. Step 2: Convert to fraction form
    8,861.61/12,228.74 = 4,882.73/x
  3. Step 3: Cross multiply
    8,861.61x = 12,228.74 × 4,882.73
  4. Step 4: Simplify right side
    8,861.61x = 59,709,550.10
  5. Step 5: Solve for x
    x = 59,709,550.10/8,861.61
  6. Step 6: Final answer
    x = 6,738.00

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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.