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Finding the Fourth Proportional to 27,652.55, 41,478.98 and 6,876.05

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Solution

The fourth proportional to 27,652.55, 41,478.98 and 6,876.05 is: 10,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.55 : 41,478.98 = 6,876.05 : x
  2. Step 2: Convert to fraction form
    27,652.55/41,478.98 = 6,876.05/x
  3. Step 3: Cross multiply
    27,652.55x = 41,478.98 × 6,876.05
  4. Step 4: Simplify right side
    27,652.55x = 285,211,350.22
  5. Step 5: Solve for x
    x = 285,211,350.22/27,652.55
  6. Step 6: Final answer
    x = 10,314.11

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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.