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Finding the Fourth Proportional to 8,833.62, 13,242.12 and 2,986.14

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Solution

The fourth proportional to 8,833.62, 13,242.12 and 2,986.14 is: 4,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.62 : 13,242.12 = 2,986.14 : x
  2. Step 2: Convert to fraction form
    8,833.62/13,242.12 = 2,986.14/x
  3. Step 3: Cross multiply
    8,833.62x = 13,242.12 × 2,986.14
  4. Step 4: Simplify right side
    8,833.62x = 39,542,824.22
  5. Step 5: Solve for x
    x = 39,542,824.22/8,833.62
  6. Step 6: Final answer
    x = 4,476.40

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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.