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Finding the Fourth Proportional to 8,549.84, 12,819.94 and 5,884.56

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Solution

The fourth proportional to 8,549.84, 12,819.94 and 5,884.56 is: 8,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.84 : 12,819.94 = 5,884.56 : x
  2. Step 2: Convert to fraction form
    8,549.84/12,819.94 = 5,884.56/x
  3. Step 3: Cross multiply
    8,549.84x = 12,819.94 × 5,884.56
  4. Step 4: Simplify right side
    8,549.84x = 75,439,691.42
  5. Step 5: Solve for x
    x = 75,439,691.42/8,549.84
  6. Step 6: Final answer
    x = 8,823.52

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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.