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Finding the Fourth Proportional to 8,722.50, 13,089.51 and 4,105.86

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Solution

The fourth proportional to 8,722.50, 13,089.51 and 4,105.86 is: 6,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.50 : 13,089.51 = 4,105.86 : x
  2. Step 2: Convert to fraction form
    8,722.50/13,089.51 = 4,105.86/x
  3. Step 3: Cross multiply
    8,722.50x = 13,089.51 × 4,105.86
  4. Step 4: Simplify right side
    8,722.50x = 53,743,695.53
  5. Step 5: Solve for x
    x = 53,743,695.53/8,722.50
  6. Step 6: Final answer
    x = 6,161.50

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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.