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Finding the Fourth Proportional to 8,177.68, 11,292.42 and 6,078.16

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Solution

The fourth proportional to 8,177.68, 11,292.42 and 6,078.16 is: 8,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.68 : 11,292.42 = 6,078.16 : x
  2. Step 2: Convert to fraction form
    8,177.68/11,292.42 = 6,078.16/x
  3. Step 3: Cross multiply
    8,177.68x = 11,292.42 × 6,078.16
  4. Step 4: Simplify right side
    8,177.68x = 68,637,135.55
  5. Step 5: Solve for x
    x = 68,637,135.55/8,177.68
  6. Step 6: Final answer
    x = 8,393.23

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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.