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Finding the Fourth Proportional to 8,437, 12,657.12 and 3,820

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Solution

The fourth proportional to 8,437, 12,657.12 and 3,820 is: 5,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437 : 12,657.12 = 3,820 : x
  2. Step 2: Convert to fraction form
    8,437/12,657.12 = 3,820/x
  3. Step 3: Cross multiply
    8,437x = 12,657.12 × 3,820
  4. Step 4: Simplify right side
    8,437x = 48,350,198.40
  5. Step 5: Solve for x
    x = 48,350,198.40/8,437
  6. Step 6: Final answer
    x = 5,730.73

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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.