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Finding the Fourth Proportional to 10,186.52, 15,279.03 and 3,166.34

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Solution

The fourth proportional to 10,186.52, 15,279.03 and 3,166.34 is: 4,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.52 : 15,279.03 = 3,166.34 : x
  2. Step 2: Convert to fraction form
    10,186.52/15,279.03 = 3,166.34/x
  3. Step 3: Cross multiply
    10,186.52x = 15,279.03 × 3,166.34
  4. Step 4: Simplify right side
    10,186.52x = 48,378,527.46
  5. Step 5: Solve for x
    x = 48,378,527.46/10,186.52
  6. Step 6: Final answer
    x = 4,749.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.