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Finding the Fourth Proportional to 6,512.16, 9,759.42 and 3,002.52

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Solution

The fourth proportional to 6,512.16, 9,759.42 and 3,002.52 is: 4,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.16 : 9,759.42 = 3,002.52 : x
  2. Step 2: Convert to fraction form
    6,512.16/9,759.42 = 3,002.52/x
  3. Step 3: Cross multiply
    6,512.16x = 9,759.42 × 3,002.52
  4. Step 4: Simplify right side
    6,512.16x = 29,302,853.74
  5. Step 5: Solve for x
    x = 29,302,853.74/6,512.16
  6. Step 6: Final answer
    x = 4,499.71

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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.