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Finding the Fourth Proportional to 7,115.34, 10,665.73 and 2,957.77

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Solution

The fourth proportional to 7,115.34, 10,665.73 and 2,957.77 is: 4,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.34 : 10,665.73 = 2,957.77 : x
  2. Step 2: Convert to fraction form
    7,115.34/10,665.73 = 2,957.77/x
  3. Step 3: Cross multiply
    7,115.34x = 10,665.73 × 2,957.77
  4. Step 4: Simplify right side
    7,115.34x = 31,546,716.62
  5. Step 5: Solve for x
    x = 31,546,716.62/7,115.34
  6. Step 6: Final answer
    x = 4,433.62

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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.