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Finding the Fourth Proportional to 10,077.48, 15,100.82 and 4,230.88

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Solution

The fourth proportional to 10,077.48, 15,100.82 and 4,230.88 is: 6,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.48 : 15,100.82 = 4,230.88 : x
  2. Step 2: Convert to fraction form
    10,077.48/15,100.82 = 4,230.88/x
  3. Step 3: Cross multiply
    10,077.48x = 15,100.82 × 4,230.88
  4. Step 4: Simplify right side
    10,077.48x = 63,889,757.32
  5. Step 5: Solve for x
    x = 63,889,757.32/10,077.48
  6. Step 6: Final answer
    x = 6,339.85

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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.