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Finding the Fourth Proportional to 8,326.80, 12,482.03 and 4,160.57

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Solution

The fourth proportional to 8,326.80, 12,482.03 and 4,160.57 is: 6,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.80 : 12,482.03 = 4,160.57 : x
  2. Step 2: Convert to fraction form
    8,326.80/12,482.03 = 4,160.57/x
  3. Step 3: Cross multiply
    8,326.80x = 12,482.03 × 4,160.57
  4. Step 4: Simplify right side
    8,326.80x = 51,932,276.34
  5. Step 5: Solve for x
    x = 51,932,276.34/8,326.80
  6. Step 6: Final answer
    x = 6,236.76

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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.