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Finding the Fourth Proportional to 11,431, 15,781.26 and 8,631.64

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Solution

The fourth proportional to 11,431, 15,781.26 and 8,631.64 is: 11,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431 : 15,781.26 = 8,631.64 : x
  2. Step 2: Convert to fraction form
    11,431/15,781.26 = 8,631.64/x
  3. Step 3: Cross multiply
    11,431x = 15,781.26 × 8,631.64
  4. Step 4: Simplify right side
    11,431x = 136,218,155.07
  5. Step 5: Solve for x
    x = 136,218,155.07/11,431
  6. Step 6: Final answer
    x = 11,916.56

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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.