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Finding the Fourth Proportional to 8,324.75, 12,488.34 and 3,131.84

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Solution

The fourth proportional to 8,324.75, 12,488.34 and 3,131.84 is: 4,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.75 : 12,488.34 = 3,131.84 : x
  2. Step 2: Convert to fraction form
    8,324.75/12,488.34 = 3,131.84/x
  3. Step 3: Cross multiply
    8,324.75x = 12,488.34 × 3,131.84
  4. Step 4: Simplify right side
    8,324.75x = 39,111,482.75
  5. Step 5: Solve for x
    x = 39,111,482.75/8,324.75
  6. Step 6: Final answer
    x = 4,698.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.