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Finding the Fourth Proportional to 8,861.63, 12,228.76 and 4,882.81

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Solution

The fourth proportional to 8,861.63, 12,228.76 and 4,882.81 is: 6,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.63 : 12,228.76 = 4,882.81 : x
  2. Step 2: Convert to fraction form
    8,861.63/12,228.76 = 4,882.81/x
  3. Step 3: Cross multiply
    8,861.63x = 12,228.76 × 4,882.81
  4. Step 4: Simplify right side
    8,861.63x = 59,710,687.20
  5. Step 5: Solve for x
    x = 59,710,687.20/8,861.63
  6. Step 6: Final answer
    x = 6,738.12

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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.