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Finding the Fourth Proportional to 10,586.52, 15,876.82 and 3,189.90

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Solution

The fourth proportional to 10,586.52, 15,876.82 and 3,189.90 is: 4,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.52 : 15,876.82 = 3,189.90 : x
  2. Step 2: Convert to fraction form
    10,586.52/15,876.82 = 3,189.90/x
  3. Step 3: Cross multiply
    10,586.52x = 15,876.82 × 3,189.90
  4. Step 4: Simplify right side
    10,586.52x = 50,645,468.12
  5. Step 5: Solve for x
    x = 50,645,468.12/10,586.52
  6. Step 6: Final answer
    x = 4,783.96

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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.