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Finding the Fourth Proportional to 10,177, 14,044.26 and 5,761

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Solution

The fourth proportional to 10,177, 14,044.26 and 5,761 is: 7,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177 : 14,044.26 = 5,761 : x
  2. Step 2: Convert to fraction form
    10,177/14,044.26 = 5,761/x
  3. Step 3: Cross multiply
    10,177x = 14,044.26 × 5,761
  4. Step 4: Simplify right side
    10,177x = 80,908,981.86
  5. Step 5: Solve for x
    x = 80,908,981.86/10,177
  6. Step 6: Final answer
    x = 7,950.18

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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.