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Finding the Fourth Proportional to 10,617.96, 14,652.24 and 5,902.20

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Solution

The fourth proportional to 10,617.96, 14,652.24 and 5,902.20 is: 8,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.96 : 14,652.24 = 5,902.20 : x
  2. Step 2: Convert to fraction form
    10,617.96/14,652.24 = 5,902.20/x
  3. Step 3: Cross multiply
    10,617.96x = 14,652.24 × 5,902.20
  4. Step 4: Simplify right side
    10,617.96x = 86,480,450.93
  5. Step 5: Solve for x
    x = 86,480,450.93/10,617.96
  6. Step 6: Final answer
    x = 8,144.73

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