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Finding the Fourth Proportional to 8,264.86, 12,337.84 and 7,082.13

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Solution

The fourth proportional to 8,264.86, 12,337.84 and 7,082.13 is: 10,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.86 : 12,337.84 = 7,082.13 : x
  2. Step 2: Convert to fraction form
    8,264.86/12,337.84 = 7,082.13/x
  3. Step 3: Cross multiply
    8,264.86x = 12,337.84 × 7,082.13
  4. Step 4: Simplify right side
    8,264.86x = 87,378,186.80
  5. Step 5: Solve for x
    x = 87,378,186.80/8,264.86
  6. Step 6: Final answer
    x = 10,572.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.