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Finding the Fourth Proportional to 10,523.72, 15,773.01 and 4,893.78

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Solution

The fourth proportional to 10,523.72, 15,773.01 and 4,893.78 is: 7,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.72 : 15,773.01 = 4,893.78 : x
  2. Step 2: Convert to fraction form
    10,523.72/15,773.01 = 4,893.78/x
  3. Step 3: Cross multiply
    10,523.72x = 15,773.01 × 4,893.78
  4. Step 4: Simplify right side
    10,523.72x = 77,189,640.88
  5. Step 5: Solve for x
    x = 77,189,640.88/10,523.72
  6. Step 6: Final answer
    x = 7,334.82

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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.