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Finding the Fourth Proportional to 11,381.38, 15,718.47 and 10,144.51

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Solution

The fourth proportional to 11,381.38, 15,718.47 and 10,144.51 is: 14,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.38 : 15,718.47 = 10,144.51 : x
  2. Step 2: Convert to fraction form
    11,381.38/15,718.47 = 10,144.51/x
  3. Step 3: Cross multiply
    11,381.38x = 15,718.47 × 10,144.51
  4. Step 4: Simplify right side
    11,381.38x = 159,456,176.10
  5. Step 5: Solve for x
    x = 159,456,176.10/11,381.38
  6. Step 6: Final answer
    x = 14,010.27

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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.