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Finding the Fourth Proportional to 8,160.24, 12,241.13 and 2,894.74

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Solution

The fourth proportional to 8,160.24, 12,241.13 and 2,894.74 is: 4,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.24 : 12,241.13 = 2,894.74 : x
  2. Step 2: Convert to fraction form
    8,160.24/12,241.13 = 2,894.74/x
  3. Step 3: Cross multiply
    8,160.24x = 12,241.13 × 2,894.74
  4. Step 4: Simplify right side
    8,160.24x = 35,434,843.58
  5. Step 5: Solve for x
    x = 35,434,843.58/8,160.24
  6. Step 6: Final answer
    x = 4,342.38

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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.