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Finding the Fourth Proportional to 10,486.27, 15,732.12 and 3,912.50

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Solution

The fourth proportional to 10,486.27, 15,732.12 and 3,912.50 is: 5,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.27 : 15,732.12 = 3,912.50 : x
  2. Step 2: Convert to fraction form
    10,486.27/15,732.12 = 3,912.50/x
  3. Step 3: Cross multiply
    10,486.27x = 15,732.12 × 3,912.50
  4. Step 4: Simplify right side
    10,486.27x = 61,551,919.50
  5. Step 5: Solve for x
    x = 61,551,919.50/10,486.27
  6. Step 6: Final answer
    x = 5,869.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.