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Finding the Fourth Proportional to 10,472.42, 15,702.71 and 3,450.53

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Solution

The fourth proportional to 10,472.42, 15,702.71 and 3,450.53 is: 5,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.42 : 15,702.71 = 3,450.53 : x
  2. Step 2: Convert to fraction form
    10,472.42/15,702.71 = 3,450.53/x
  3. Step 3: Cross multiply
    10,472.42x = 15,702.71 × 3,450.53
  4. Step 4: Simplify right side
    10,472.42x = 54,182,693.94
  5. Step 5: Solve for x
    x = 54,182,693.94/10,472.42
  6. Step 6: Final answer
    x = 5,173.85

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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.