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Finding the Fourth Proportional to 8,097.19, 12,140.59 and 3,415.92

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Solution

The fourth proportional to 8,097.19, 12,140.59 and 3,415.92 is: 5,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.19 : 12,140.59 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    8,097.19/12,140.59 = 3,415.92/x
  3. Step 3: Cross multiply
    8,097.19x = 12,140.59 × 3,415.92
  4. Step 4: Simplify right side
    8,097.19x = 41,471,314.43
  5. Step 5: Solve for x
    x = 41,471,314.43/8,097.19
  6. Step 6: Final answer
    x = 5,121.69

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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.