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Finding the Fourth Proportional to 11,737.22, 16,197.38 and 6,431.93

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Solution

The fourth proportional to 11,737.22, 16,197.38 and 6,431.93 is: 8,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.22 : 16,197.38 = 6,431.93 : x
  2. Step 2: Convert to fraction form
    11,737.22/16,197.38 = 6,431.93/x
  3. Step 3: Cross multiply
    11,737.22x = 16,197.38 × 6,431.93
  4. Step 4: Simplify right side
    11,737.22x = 104,180,301.20
  5. Step 5: Solve for x
    x = 104,180,301.20/11,737.22
  6. Step 6: Final answer
    x = 8,876.07

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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.