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Finding the Fourth Proportional to 8,054.68, 12,096.42 and 5,287

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Solution

The fourth proportional to 8,054.68, 12,096.42 and 5,287 is: 7,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.68 : 12,096.42 = 5,287 : x
  2. Step 2: Convert to fraction form
    8,054.68/12,096.42 = 5,287/x
  3. Step 3: Cross multiply
    8,054.68x = 12,096.42 × 5,287
  4. Step 4: Simplify right side
    8,054.68x = 63,953,772.54
  5. Step 5: Solve for x
    x = 63,953,772.54/8,054.68
  6. Step 6: Final answer
    x = 7,939.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.