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Finding the Fourth Proportional to 7,981.34, 11,006.08 and 6,865.97

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Solution

The fourth proportional to 7,981.34, 11,006.08 and 6,865.97 is: 9,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.34 : 11,006.08 = 6,865.97 : x
  2. Step 2: Convert to fraction form
    7,981.34/11,006.08 = 6,865.97/x
  3. Step 3: Cross multiply
    7,981.34x = 11,006.08 × 6,865.97
  4. Step 4: Simplify right side
    7,981.34x = 75,567,342.90
  5. Step 5: Solve for x
    x = 75,567,342.90/7,981.34
  6. Step 6: Final answer
    x = 9,468.01

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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.