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Finding the Fourth Proportional to 11,881.40, 17,822.10 and 5,737.40

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Solution

The fourth proportional to 11,881.40, 17,822.10 and 5,737.40 is: 8,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.40 : 17,822.10 = 5,737.40 : x
  2. Step 2: Convert to fraction form
    11,881.40/17,822.10 = 5,737.40/x
  3. Step 3: Cross multiply
    11,881.40x = 17,822.10 × 5,737.40
  4. Step 4: Simplify right side
    11,881.40x = 102,252,516.54
  5. Step 5: Solve for x
    x = 102,252,516.54/11,881.40
  6. Step 6: Final answer
    x = 8,606.10

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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.