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Finding the Fourth Proportional to 8,494.10, 12,746.33 and 5,369.80

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Solution

The fourth proportional to 8,494.10, 12,746.33 and 5,369.80 is: 8,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.10 : 12,746.33 = 5,369.80 : x
  2. Step 2: Convert to fraction form
    8,494.10/12,746.33 = 5,369.80/x
  3. Step 3: Cross multiply
    8,494.10x = 12,746.33 × 5,369.80
  4. Step 4: Simplify right side
    8,494.10x = 68,445,242.83
  5. Step 5: Solve for x
    x = 68,445,242.83/8,494.10
  6. Step 6: Final answer
    x = 8,057.97

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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.