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Finding the Fourth Proportional to 8,060.40, 12,097.26 and 4,114.57

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Solution

The fourth proportional to 8,060.40, 12,097.26 and 4,114.57 is: 6,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,060.40 : 12,097.26 = 4,114.57 : x
  2. Step 2: Convert to fraction form
    8,060.40/12,097.26 = 4,114.57/x
  3. Step 3: Cross multiply
    8,060.40x = 12,097.26 × 4,114.57
  4. Step 4: Simplify right side
    8,060.40x = 49,775,063.61
  5. Step 5: Solve for x
    x = 49,775,063.61/8,060.40
  6. Step 6: Final answer
    x = 6,175.26

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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.