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Finding the Fourth Proportional to 27,598.27, 41,404.40 and 7,876.90

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Solution

The fourth proportional to 27,598.27, 41,404.40 and 7,876.90 is: 11,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.27 : 41,404.40 = 7,876.90 : x
  2. Step 2: Convert to fraction form
    27,598.27/41,404.40 = 7,876.90/x
  3. Step 3: Cross multiply
    27,598.27x = 41,404.40 × 7,876.90
  4. Step 4: Simplify right side
    27,598.27x = 326,138,318.36
  5. Step 5: Solve for x
    x = 326,138,318.36/27,598.27
  6. Step 6: Final answer
    x = 11,817.35

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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.