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Finding the Fourth Proportional to 8,934.85, 13,402.84 and 3,011.25

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Solution

The fourth proportional to 8,934.85, 13,402.84 and 3,011.25 is: 4,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.85 : 13,402.84 = 3,011.25 : x
  2. Step 2: Convert to fraction form
    8,934.85/13,402.84 = 3,011.25/x
  3. Step 3: Cross multiply
    8,934.85x = 13,402.84 × 3,011.25
  4. Step 4: Simplify right side
    8,934.85x = 40,359,294.42
  5. Step 5: Solve for x
    x = 40,359,294.42/8,934.85
  6. Step 6: Final answer
    x = 4,517.07

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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.