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Finding the Fourth Proportional to 8,278.59, 11,421.57 and 5,296.17

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Solution

The fourth proportional to 8,278.59, 11,421.57 and 5,296.17 is: 7,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.59 : 11,421.57 = 5,296.17 : x
  2. Step 2: Convert to fraction form
    8,278.59/11,421.57 = 5,296.17/x
  3. Step 3: Cross multiply
    8,278.59x = 11,421.57 × 5,296.17
  4. Step 4: Simplify right side
    8,278.59x = 60,490,576.39
  5. Step 5: Solve for x
    x = 60,490,576.39/8,278.59
  6. Step 6: Final answer
    x = 7,306.87

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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.