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Finding the Fourth Proportional to 8,268.10, 12,402.15 and 5,643.70

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Solution

The fourth proportional to 8,268.10, 12,402.15 and 5,643.70 is: 8,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.10 : 12,402.15 = 5,643.70 : x
  2. Step 2: Convert to fraction form
    8,268.10/12,402.15 = 5,643.70/x
  3. Step 3: Cross multiply
    8,268.10x = 12,402.15 × 5,643.70
  4. Step 4: Simplify right side
    8,268.10x = 69,994,013.96
  5. Step 5: Solve for x
    x = 69,994,013.96/8,268.10
  6. Step 6: Final answer
    x = 8,465.55

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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.