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Finding the Fourth Proportional to 10,627.61, 15,942.07 and 3,232.61

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Solution

The fourth proportional to 10,627.61, 15,942.07 and 3,232.61 is: 4,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.61 : 15,942.07 = 3,232.61 : x
  2. Step 2: Convert to fraction form
    10,627.61/15,942.07 = 3,232.61/x
  3. Step 3: Cross multiply
    10,627.61x = 15,942.07 × 3,232.61
  4. Step 4: Simplify right side
    10,627.61x = 51,534,494.90
  5. Step 5: Solve for x
    x = 51,534,494.90/10,627.61
  6. Step 6: Final answer
    x = 4,849.11

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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.