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Finding the Fourth Proportional to 8,781, 13,178.42 and 3,854.04

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Solution

The fourth proportional to 8,781, 13,178.42 and 3,854.04 is: 5,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781 : 13,178.42 = 3,854.04 : x
  2. Step 2: Convert to fraction form
    8,781/13,178.42 = 3,854.04/x
  3. Step 3: Cross multiply
    8,781x = 13,178.42 × 3,854.04
  4. Step 4: Simplify right side
    8,781x = 50,790,157.82
  5. Step 5: Solve for x
    x = 50,790,157.82/8,781
  6. Step 6: Final answer
    x = 5,784.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.