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Finding the Fourth Proportional to 10,029.20, 15,049.20 and 4,186.40

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Solution

The fourth proportional to 10,029.20, 15,049.20 and 4,186.40 is: 6,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.20 : 15,049.20 = 4,186.40 : x
  2. Step 2: Convert to fraction form
    10,029.20/15,049.20 = 4,186.40/x
  3. Step 3: Cross multiply
    10,029.20x = 15,049.20 × 4,186.40
  4. Step 4: Simplify right side
    10,029.20x = 63,001,970.88
  5. Step 5: Solve for x
    x = 63,001,970.88/10,029.20
  6. Step 6: Final answer
    x = 6,281.85

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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.