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Finding the Fourth Proportional to 8,081.50, 11,152.61 and 5,287

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Solution

The fourth proportional to 8,081.50, 11,152.61 and 5,287 is: 7,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.50 : 11,152.61 = 5,287 : x
  2. Step 2: Convert to fraction form
    8,081.50/11,152.61 = 5,287/x
  3. Step 3: Cross multiply
    8,081.50x = 11,152.61 × 5,287
  4. Step 4: Simplify right side
    8,081.50x = 58,963,849.07
  5. Step 5: Solve for x
    x = 58,963,849.07/8,081.50
  6. Step 6: Final answer
    x = 7,296.15

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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.