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Finding the Fourth Proportional to 10,314.52, 15,472.64 and 3,295.54

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Solution

The fourth proportional to 10,314.52, 15,472.64 and 3,295.54 is: 4,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.52 : 15,472.64 = 3,295.54 : x
  2. Step 2: Convert to fraction form
    10,314.52/15,472.64 = 3,295.54/x
  3. Step 3: Cross multiply
    10,314.52x = 15,472.64 × 3,295.54
  4. Step 4: Simplify right side
    10,314.52x = 50,990,704.03
  5. Step 5: Solve for x
    x = 50,990,704.03/10,314.52
  6. Step 6: Final answer
    x = 4,943.58

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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.