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Finding the Fourth Proportional to 8,077.80, 12,114.66 and 5,730.96

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Solution

The fourth proportional to 8,077.80, 12,114.66 and 5,730.96 is: 8,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.80 : 12,114.66 = 5,730.96 : x
  2. Step 2: Convert to fraction form
    8,077.80/12,114.66 = 5,730.96/x
  3. Step 3: Cross multiply
    8,077.80x = 12,114.66 × 5,730.96
  4. Step 4: Simplify right side
    8,077.80x = 69,428,631.87
  5. Step 5: Solve for x
    x = 69,428,631.87/8,077.80
  6. Step 6: Final answer
    x = 8,594.99

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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.