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Finding the Fourth Proportional to 8,540.70, 12,812.85 and 3,607.80

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Solution

The fourth proportional to 8,540.70, 12,812.85 and 3,607.80 is: 5,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.70 : 12,812.85 = 3,607.80 : x
  2. Step 2: Convert to fraction form
    8,540.70/12,812.85 = 3,607.80/x
  3. Step 3: Cross multiply
    8,540.70x = 12,812.85 × 3,607.80
  4. Step 4: Simplify right side
    8,540.70x = 46,226,200.23
  5. Step 5: Solve for x
    x = 46,226,200.23/8,540.70
  6. Step 6: Final answer
    x = 5,412.46

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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.