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Finding the Fourth Proportional to 10,665.78, 15,998.66 and 2,874.58

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Solution

The fourth proportional to 10,665.78, 15,998.66 and 2,874.58 is: 4,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.78 : 15,998.66 = 2,874.58 : x
  2. Step 2: Convert to fraction form
    10,665.78/15,998.66 = 2,874.58/x
  3. Step 3: Cross multiply
    10,665.78x = 15,998.66 × 2,874.58
  4. Step 4: Simplify right side
    10,665.78x = 45,989,428.06
  5. Step 5: Solve for x
    x = 45,989,428.06/10,665.78
  6. Step 6: Final answer
    x = 4,311.87

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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.