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Finding the Fourth Proportional to 10,617.75, 14,652.90 and 5,902.38

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Solution

The fourth proportional to 10,617.75, 14,652.90 and 5,902.38 is: 8,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.75 : 14,652.90 = 5,902.38 : x
  2. Step 2: Convert to fraction form
    10,617.75/14,652.90 = 5,902.38/x
  3. Step 3: Cross multiply
    10,617.75x = 14,652.90 × 5,902.38
  4. Step 4: Simplify right side
    10,617.75x = 86,486,983.90
  5. Step 5: Solve for x
    x = 86,486,983.90/10,617.75
  6. Step 6: Final answer
    x = 8,145.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.