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Finding the Fourth Proportional to 8,149.95, 11,247.09 and 4,613.16

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Solution

The fourth proportional to 8,149.95, 11,247.09 and 4,613.16 is: 6,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.95 : 11,247.09 = 4,613.16 : x
  2. Step 2: Convert to fraction form
    8,149.95/11,247.09 = 4,613.16/x
  3. Step 3: Cross multiply
    8,149.95x = 11,247.09 × 4,613.16
  4. Step 4: Simplify right side
    8,149.95x = 51,884,625.70
  5. Step 5: Solve for x
    x = 51,884,625.70/8,149.95
  6. Step 6: Final answer
    x = 6,366.25

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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.