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Finding the Fourth Proportional to 11,833.29, 17,737.34 and 8,902.53

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Solution

The fourth proportional to 11,833.29, 17,737.34 and 8,902.53 is: 13,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.29 : 17,737.34 = 8,902.53 : x
  2. Step 2: Convert to fraction form
    11,833.29/17,737.34 = 8,902.53/x
  3. Step 3: Cross multiply
    11,833.29x = 17,737.34 × 8,902.53
  4. Step 4: Simplify right side
    11,833.29x = 157,907,156.96
  5. Step 5: Solve for x
    x = 157,907,156.96/11,833.29
  6. Step 6: Final answer
    x = 13,344.32

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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.