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Finding the Fourth Proportional to 7,759.78, 10,706.91 and 7,493.08

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Solution

The fourth proportional to 7,759.78, 10,706.91 and 7,493.08 is: 10,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.78 : 10,706.91 = 7,493.08 : x
  2. Step 2: Convert to fraction form
    7,759.78/10,706.91 = 7,493.08/x
  3. Step 3: Cross multiply
    7,759.78x = 10,706.91 × 7,493.08
  4. Step 4: Simplify right side
    7,759.78x = 80,227,733.18
  5. Step 5: Solve for x
    x = 80,227,733.18/7,759.78
  6. Step 6: Final answer
    x = 10,338.92

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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.