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Finding the Fourth Proportional to 8,068.80, 12,097.65 and 4,112.40

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Solution

The fourth proportional to 8,068.80, 12,097.65 and 4,112.40 is: 6,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.80 : 12,097.65 = 4,112.40 : x
  2. Step 2: Convert to fraction form
    8,068.80/12,097.65 = 4,112.40/x
  3. Step 3: Cross multiply
    8,068.80x = 12,097.65 × 4,112.40
  4. Step 4: Simplify right side
    8,068.80x = 49,750,375.86
  5. Step 5: Solve for x
    x = 49,750,375.86/8,068.80
  6. Step 6: Final answer
    x = 6,165.77

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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.