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Finding the Fourth Proportional to 7,930.78, 11,897.25 and 2,737.06

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Solution

The fourth proportional to 7,930.78, 11,897.25 and 2,737.06 is: 4,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.78 : 11,897.25 = 2,737.06 : x
  2. Step 2: Convert to fraction form
    7,930.78/11,897.25 = 2,737.06/x
  3. Step 3: Cross multiply
    7,930.78x = 11,897.25 × 2,737.06
  4. Step 4: Simplify right side
    7,930.78x = 32,563,487.09
  5. Step 5: Solve for x
    x = 32,563,487.09/7,930.78
  6. Step 6: Final answer
    x = 4,105.96

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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.