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Finding the Fourth Proportional to 8,280.74, 11,429.22 and 5,096.78

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Solution

The fourth proportional to 8,280.74, 11,429.22 and 5,096.78 is: 7,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.74 : 11,429.22 = 5,096.78 : x
  2. Step 2: Convert to fraction form
    8,280.74/11,429.22 = 5,096.78/x
  3. Step 3: Cross multiply
    8,280.74x = 11,429.22 × 5,096.78
  4. Step 4: Simplify right side
    8,280.74x = 58,252,219.91
  5. Step 5: Solve for x
    x = 58,252,219.91/8,280.74
  6. Step 6: Final answer
    x = 7,034.66

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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.