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Finding the Fourth Proportional to 10,189.35, 14,061.98 and 5,713.39

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Solution

The fourth proportional to 10,189.35, 14,061.98 and 5,713.39 is: 7,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.35 : 14,061.98 = 5,713.39 : x
  2. Step 2: Convert to fraction form
    10,189.35/14,061.98 = 5,713.39/x
  3. Step 3: Cross multiply
    10,189.35x = 14,061.98 × 5,713.39
  4. Step 4: Simplify right side
    10,189.35x = 80,341,512.19
  5. Step 5: Solve for x
    x = 80,341,512.19/10,189.35
  6. Step 6: Final answer
    x = 7,884.85

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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.