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Finding the Fourth Proportional to 10,108.50, 15,169.68 and 3,534.67

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Solution

The fourth proportional to 10,108.50, 15,169.68 and 3,534.67 is: 5,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.50 : 15,169.68 = 3,534.67 : x
  2. Step 2: Convert to fraction form
    10,108.50/15,169.68 = 3,534.67/x
  3. Step 3: Cross multiply
    10,108.50x = 15,169.68 × 3,534.67
  4. Step 4: Simplify right side
    10,108.50x = 53,619,831.77
  5. Step 5: Solve for x
    x = 53,619,831.77/10,108.50
  6. Step 6: Final answer
    x = 5,304.43

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Why These Related Problems?

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