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Finding the Fourth Proportional to 7,930.74, 11,897.87 and 2,665.58

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Solution

The fourth proportional to 7,930.74, 11,897.87 and 2,665.58 is: 3,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.74 : 11,897.87 = 2,665.58 : x
  2. Step 2: Convert to fraction form
    7,930.74/11,897.87 = 2,665.58/x
  3. Step 3: Cross multiply
    7,930.74x = 11,897.87 × 2,665.58
  4. Step 4: Simplify right side
    7,930.74x = 31,714,724.31
  5. Step 5: Solve for x
    x = 31,714,724.31/7,930.74
  6. Step 6: Final answer
    x = 3,998.96

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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.