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Finding the Fourth Proportional to 6,760.86, 10,177.84 and 6,082.68

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Solution

The fourth proportional to 6,760.86, 10,177.84 and 6,082.68 is: 9,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.86 : 10,177.84 = 6,082.68 : x
  2. Step 2: Convert to fraction form
    6,760.86/10,177.84 = 6,082.68/x
  3. Step 3: Cross multiply
    6,760.86x = 10,177.84 × 6,082.68
  4. Step 4: Simplify right side
    6,760.86x = 61,908,543.81
  5. Step 5: Solve for x
    x = 61,908,543.81/6,760.86
  6. Step 6: Final answer
    x = 9,156.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.