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Finding the Fourth Proportional to 8,081.16, 12,123.50 and 7,264.68

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Solution

The fourth proportional to 8,081.16, 12,123.50 and 7,264.68 is: 10,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.16 : 12,123.50 = 7,264.68 : x
  2. Step 2: Convert to fraction form
    8,081.16/12,123.50 = 7,264.68/x
  3. Step 3: Cross multiply
    8,081.16x = 12,123.50 × 7,264.68
  4. Step 4: Simplify right side
    8,081.16x = 88,073,347.98
  5. Step 5: Solve for x
    x = 88,073,347.98/8,081.16
  6. Step 6: Final answer
    x = 10,898.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.