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Finding the Fourth Proportional to 7,881.18, 11,764.09 and 6,947.05

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Solution

The fourth proportional to 7,881.18, 11,764.09 and 6,947.05 is: 10,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.18 : 11,764.09 = 6,947.05 : x
  2. Step 2: Convert to fraction form
    7,881.18/11,764.09 = 6,947.05/x
  3. Step 3: Cross multiply
    7,881.18x = 11,764.09 × 6,947.05
  4. Step 4: Simplify right side
    7,881.18x = 81,725,721.43
  5. Step 5: Solve for x
    x = 81,725,721.43/7,881.18
  6. Step 6: Final answer
    x = 10,369.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.