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Finding the Fourth Proportional to 10,652.65, 15,978.97 and 2,861.46

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Solution

The fourth proportional to 10,652.65, 15,978.97 and 2,861.46 is: 4,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.65 : 15,978.97 = 2,861.46 : x
  2. Step 2: Convert to fraction form
    10,652.65/15,978.97 = 2,861.46/x
  3. Step 3: Cross multiply
    10,652.65x = 15,978.97 × 2,861.46
  4. Step 4: Simplify right side
    10,652.65x = 45,723,183.50
  5. Step 5: Solve for x
    x = 45,723,183.50/10,652.65
  6. Step 6: Final answer
    x = 4,292.19

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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.