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Finding the Fourth Proportional to 6,057.14, 9,078.68 and 5,365.19

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Solution

The fourth proportional to 6,057.14, 9,078.68 and 5,365.19 is: 8,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.14 : 9,078.68 = 5,365.19 : x
  2. Step 2: Convert to fraction form
    6,057.14/9,078.68 = 5,365.19/x
  3. Step 3: Cross multiply
    6,057.14x = 9,078.68 × 5,365.19
  4. Step 4: Simplify right side
    6,057.14x = 48,708,770.93
  5. Step 5: Solve for x
    x = 48,708,770.93/6,057.14
  6. Step 6: Final answer
    x = 8,041.55

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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.