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Finding the Fourth Proportional to 8,176.64, 12,249.48 and 4,834.90

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Solution

The fourth proportional to 8,176.64, 12,249.48 and 4,834.90 is: 7,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.64 : 12,249.48 = 4,834.90 : x
  2. Step 2: Convert to fraction form
    8,176.64/12,249.48 = 4,834.90/x
  3. Step 3: Cross multiply
    8,176.64x = 12,249.48 × 4,834.90
  4. Step 4: Simplify right side
    8,176.64x = 59,224,949.60
  5. Step 5: Solve for x
    x = 59,224,949.60/8,176.64
  6. Step 6: Final answer
    x = 7,243.19

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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.