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Finding the Fourth Proportional to 27,902.72, 41,853.20 and 6,842.83

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Solution

The fourth proportional to 27,902.72, 41,853.20 and 6,842.83 is: 10,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.72 : 41,853.20 = 6,842.83 : x
  2. Step 2: Convert to fraction form
    27,902.72/41,853.20 = 6,842.83/x
  3. Step 3: Cross multiply
    27,902.72x = 41,853.20 × 6,842.83
  4. Step 4: Simplify right side
    27,902.72x = 286,394,123.29
  5. Step 5: Solve for x
    x = 286,394,123.29/27,902.72
  6. Step 6: Final answer
    x = 10,264.02

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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.