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Finding the Fourth Proportional to 8,468.42, 12,701.70 and 2,229.02

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Solution

The fourth proportional to 8,468.42, 12,701.70 and 2,229.02 is: 3,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.42 : 12,701.70 = 2,229.02 : x
  2. Step 2: Convert to fraction form
    8,468.42/12,701.70 = 2,229.02/x
  3. Step 3: Cross multiply
    8,468.42x = 12,701.70 × 2,229.02
  4. Step 4: Simplify right side
    8,468.42x = 28,312,343.33
  5. Step 5: Solve for x
    x = 28,312,343.33/8,468.42
  6. Step 6: Final answer
    x = 3,343.29

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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.