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Finding the Fourth Proportional to 6,115.58, 9,157.84 and 5,125.78

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Solution

The fourth proportional to 6,115.58, 9,157.84 and 5,125.78 is: 7,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.58 : 9,157.84 = 5,125.78 : x
  2. Step 2: Convert to fraction form
    6,115.58/9,157.84 = 5,125.78/x
  3. Step 3: Cross multiply
    6,115.58x = 9,157.84 × 5,125.78
  4. Step 4: Simplify right side
    6,115.58x = 46,941,073.12
  5. Step 5: Solve for x
    x = 46,941,073.12/6,115.58
  6. Step 6: Final answer
    x = 7,675.65

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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.