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Finding the Fourth Proportional to 6,515.16, 8,986.82 and 4,277.16

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Solution

The fourth proportional to 6,515.16, 8,986.82 and 4,277.16 is: 5,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.16 : 8,986.82 = 4,277.16 : x
  2. Step 2: Convert to fraction form
    6,515.16/8,986.82 = 4,277.16/x
  3. Step 3: Cross multiply
    6,515.16x = 8,986.82 × 4,277.16
  4. Step 4: Simplify right side
    6,515.16x = 38,438,067.03
  5. Step 5: Solve for x
    x = 38,438,067.03/6,515.16
  6. Step 6: Final answer
    x = 5,899.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.