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Finding the Fourth Proportional to 11,431.64, 15,781.41 and 10,821.17

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Solution

The fourth proportional to 11,431.64, 15,781.41 and 10,821.17 is: 14,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.64 : 15,781.41 = 10,821.17 : x
  2. Step 2: Convert to fraction form
    11,431.64/15,781.41 = 10,821.17/x
  3. Step 3: Cross multiply
    11,431.64x = 15,781.41 × 10,821.17
  4. Step 4: Simplify right side
    11,431.64x = 170,773,320.45
  5. Step 5: Solve for x
    x = 170,773,320.45/11,431.64
  6. Step 6: Final answer
    x = 14,938.65

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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.