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Finding the Fourth Proportional to 8,882.25, 13,323.40 and 2,308.50

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Solution

The fourth proportional to 8,882.25, 13,323.40 and 2,308.50 is: 3,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.25 : 13,323.40 = 2,308.50 : x
  2. Step 2: Convert to fraction form
    8,882.25/13,323.40 = 2,308.50/x
  3. Step 3: Cross multiply
    8,882.25x = 13,323.40 × 2,308.50
  4. Step 4: Simplify right side
    8,882.25x = 30,756,990.74
  5. Step 5: Solve for x
    x = 30,756,990.74/8,882.25
  6. Step 6: Final answer
    x = 3,462.75

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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.