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Finding the Fourth Proportional to 27,652.64, 41,479.14 and 6,876.14

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Solution

The fourth proportional to 27,652.64, 41,479.14 and 6,876.14 is: 10,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.64 : 41,479.14 = 6,876.14 : x
  2. Step 2: Convert to fraction form
    27,652.64/41,479.14 = 6,876.14/x
  3. Step 3: Cross multiply
    27,652.64x = 41,479.14 × 6,876.14
  4. Step 4: Simplify right side
    27,652.64x = 285,216,373.72
  5. Step 5: Solve for x
    x = 285,216,373.72/27,652.64
  6. Step 6: Final answer
    x = 10,314.25

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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.