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Finding the Fourth Proportional to 8,137.39, 12,186.17 and 7,348.53

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Solution

The fourth proportional to 8,137.39, 12,186.17 and 7,348.53 is: 11,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.39 : 12,186.17 = 7,348.53 : x
  2. Step 2: Convert to fraction form
    8,137.39/12,186.17 = 7,348.53/x
  3. Step 3: Cross multiply
    8,137.39x = 12,186.17 × 7,348.53
  4. Step 4: Simplify right side
    8,137.39x = 89,550,458.74
  5. Step 5: Solve for x
    x = 89,550,458.74/8,137.39
  6. Step 6: Final answer
    x = 11,004.82

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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.