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Finding the Fourth Proportional to 8,323.91, 12,486.71 and 2,775.75

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Solution

The fourth proportional to 8,323.91, 12,486.71 and 2,775.75 is: 4,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.91 : 12,486.71 = 2,775.75 : x
  2. Step 2: Convert to fraction form
    8,323.91/12,486.71 = 2,775.75/x
  3. Step 3: Cross multiply
    8,323.91x = 12,486.71 × 2,775.75
  4. Step 4: Simplify right side
    8,323.91x = 34,659,971.40
  5. Step 5: Solve for x
    x = 34,659,971.40/8,323.91
  6. Step 6: Final answer
    x = 4,163.91

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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.