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Finding the Fourth Proportional to 8,140.91, 11,230.22 and 5,151.60

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Solution

The fourth proportional to 8,140.91, 11,230.22 and 5,151.60 is: 7,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.91 : 11,230.22 = 5,151.60 : x
  2. Step 2: Convert to fraction form
    8,140.91/11,230.22 = 5,151.60/x
  3. Step 3: Cross multiply
    8,140.91x = 11,230.22 × 5,151.60
  4. Step 4: Simplify right side
    8,140.91x = 57,853,575.59
  5. Step 5: Solve for x
    x = 57,853,575.59/8,140.91
  6. Step 6: Final answer
    x = 7,106.53

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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.