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Finding the Fourth Proportional to 7,721.91, 10,648.42 and 6,868.47

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Solution

The fourth proportional to 7,721.91, 10,648.42 and 6,868.47 is: 9,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721.91 : 10,648.42 = 6,868.47 : x
  2. Step 2: Convert to fraction form
    7,721.91/10,648.42 = 6,868.47/x
  3. Step 3: Cross multiply
    7,721.91x = 10,648.42 × 6,868.47
  4. Step 4: Simplify right side
    7,721.91x = 73,138,353.32
  5. Step 5: Solve for x
    x = 73,138,353.32/7,721.91
  6. Step 6: Final answer
    x = 9,471.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.