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Finding the Fourth Proportional to 8,834.56, 13,243.20 and 3,644.16

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Solution

The fourth proportional to 8,834.56, 13,243.20 and 3,644.16 is: 5,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.56 : 13,243.20 = 3,644.16 : x
  2. Step 2: Convert to fraction form
    8,834.56/13,243.20 = 3,644.16/x
  3. Step 3: Cross multiply
    8,834.56x = 13,243.20 × 3,644.16
  4. Step 4: Simplify right side
    8,834.56x = 48,260,339.71
  5. Step 5: Solve for x
    x = 48,260,339.71/8,834.56
  6. Step 6: Final answer
    x = 5,462.68

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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.