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Finding the Fourth Proportional to 27,600.27, 41,407.40 and 7,878.90

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Solution

The fourth proportional to 27,600.27, 41,407.40 and 7,878.90 is: 11,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.27 : 41,407.40 = 7,878.90 : x
  2. Step 2: Convert to fraction form
    27,600.27/41,407.40 = 7,878.90/x
  3. Step 3: Cross multiply
    27,600.27x = 41,407.40 × 7,878.90
  4. Step 4: Simplify right side
    27,600.27x = 326,244,763.86
  5. Step 5: Solve for x
    x = 326,244,763.86/27,600.27
  6. Step 6: Final answer
    x = 11,820.35

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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.