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Finding the Fourth Proportional to 8,082.76, 11,151.46 and 4,897.04

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Solution

The fourth proportional to 8,082.76, 11,151.46 and 4,897.04 is: 6,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.76 : 11,151.46 = 4,897.04 : x
  2. Step 2: Convert to fraction form
    8,082.76/11,151.46 = 4,897.04/x
  3. Step 3: Cross multiply
    8,082.76x = 11,151.46 × 4,897.04
  4. Step 4: Simplify right side
    8,082.76x = 54,609,145.68
  5. Step 5: Solve for x
    x = 54,609,145.68/8,082.76
  6. Step 6: Final answer
    x = 6,756.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.