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Finding the Fourth Proportional to 8,160.80, 11,268.25 and 6,269.40

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Solution

The fourth proportional to 8,160.80, 11,268.25 and 6,269.40 is: 8,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.80 : 11,268.25 = 6,269.40 : x
  2. Step 2: Convert to fraction form
    8,160.80/11,268.25 = 6,269.40/x
  3. Step 3: Cross multiply
    8,160.80x = 11,268.25 × 6,269.40
  4. Step 4: Simplify right side
    8,160.80x = 70,645,078.86
  5. Step 5: Solve for x
    x = 70,645,078.86/8,160.80
  6. Step 6: Final answer
    x = 8,656.64

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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.