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Finding the Fourth Proportional to 10,230.72, 15,337.80 and 3,652.80

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Solution

The fourth proportional to 10,230.72, 15,337.80 and 3,652.80 is: 5,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.72 : 15,337.80 = 3,652.80 : x
  2. Step 2: Convert to fraction form
    10,230.72/15,337.80 = 3,652.80/x
  3. Step 3: Cross multiply
    10,230.72x = 15,337.80 × 3,652.80
  4. Step 4: Simplify right side
    10,230.72x = 56,025,915.84
  5. Step 5: Solve for x
    x = 56,025,915.84/10,230.72
  6. Step 6: Final answer
    x = 5,476.24

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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.