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Finding the Fourth Proportional to 8,144.59, 11,240.74 and 5,160.71

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Solution

The fourth proportional to 8,144.59, 11,240.74 and 5,160.71 is: 7,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.59 : 11,240.74 = 5,160.71 : x
  2. Step 2: Convert to fraction form
    8,144.59/11,240.74 = 5,160.71/x
  3. Step 3: Cross multiply
    8,144.59x = 11,240.74 × 5,160.71
  4. Step 4: Simplify right side
    8,144.59x = 58,010,143.12
  5. Step 5: Solve for x
    x = 58,010,143.12/8,144.59
  6. Step 6: Final answer
    x = 7,122.54

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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.