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Finding the Fourth Proportional to 10,168.11, 14,031.34 and 5,630.49

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Solution

The fourth proportional to 10,168.11, 14,031.34 and 5,630.49 is: 7,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.11 : 14,031.34 = 5,630.49 : x
  2. Step 2: Convert to fraction form
    10,168.11/14,031.34 = 5,630.49/x
  3. Step 3: Cross multiply
    10,168.11x = 14,031.34 × 5,630.49
  4. Step 4: Simplify right side
    10,168.11x = 79,003,319.56
  5. Step 5: Solve for x
    x = 79,003,319.56/10,168.11
  6. Step 6: Final answer
    x = 7,769.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.