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Finding the Fourth Proportional to 8,482.75, 12,724.49 and 2,326.75

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Solution

The fourth proportional to 8,482.75, 12,724.49 and 2,326.75 is: 3,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.75 : 12,724.49 = 2,326.75 : x
  2. Step 2: Convert to fraction form
    8,482.75/12,724.49 = 2,326.75/x
  3. Step 3: Cross multiply
    8,482.75x = 12,724.49 × 2,326.75
  4. Step 4: Simplify right side
    8,482.75x = 29,606,707.11
  5. Step 5: Solve for x
    x = 29,606,707.11/8,482.75
  6. Step 6: Final answer
    x = 3,490.23

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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.