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Finding the Fourth Proportional to 7,876.11, 11,814.18 and 7,394.97

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Solution

The fourth proportional to 7,876.11, 11,814.18 and 7,394.97 is: 11,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.11 : 11,814.18 = 7,394.97 : x
  2. Step 2: Convert to fraction form
    7,876.11/11,814.18 = 7,394.97/x
  3. Step 3: Cross multiply
    7,876.11x = 11,814.18 × 7,394.97
  4. Step 4: Simplify right side
    7,876.11x = 87,365,506.67
  5. Step 5: Solve for x
    x = 87,365,506.67/7,876.11
  6. Step 6: Final answer
    x = 11,092.47

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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.