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Finding the Fourth Proportional to 10,144.88, 15,206.85 and 4,225.20

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Solution

The fourth proportional to 10,144.88, 15,206.85 and 4,225.20 is: 6,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.88 : 15,206.85 = 4,225.20 : x
  2. Step 2: Convert to fraction form
    10,144.88/15,206.85 = 4,225.20/x
  3. Step 3: Cross multiply
    10,144.88x = 15,206.85 × 4,225.20
  4. Step 4: Simplify right side
    10,144.88x = 64,251,982.62
  5. Step 5: Solve for x
    x = 64,251,982.62/10,144.88
  6. Step 6: Final answer
    x = 6,333.44

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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.