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Finding the Fourth Proportional to 8,441.80, 12,657.30 and 3,513.40

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Solution

The fourth proportional to 8,441.80, 12,657.30 and 3,513.40 is: 5,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.80 : 12,657.30 = 3,513.40 : x
  2. Step 2: Convert to fraction form
    8,441.80/12,657.30 = 3,513.40/x
  3. Step 3: Cross multiply
    8,441.80x = 12,657.30 × 3,513.40
  4. Step 4: Simplify right side
    8,441.80x = 44,470,157.82
  5. Step 5: Solve for x
    x = 44,470,157.82/8,441.80
  6. Step 6: Final answer
    x = 5,267.85

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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.