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Finding the Fourth Proportional to 10,638.86, 15,960.02 and 3,143.18

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Solution

The fourth proportional to 10,638.86, 15,960.02 and 3,143.18 is: 4,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.86 : 15,960.02 = 3,143.18 : x
  2. Step 2: Convert to fraction form
    10,638.86/15,960.02 = 3,143.18/x
  3. Step 3: Cross multiply
    10,638.86x = 15,960.02 × 3,143.18
  4. Step 4: Simplify right side
    10,638.86x = 50,165,215.66
  5. Step 5: Solve for x
    x = 50,165,215.66/10,638.86
  6. Step 6: Final answer
    x = 4,715.28

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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.