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Finding the Fourth Proportional to 8,774.75, 13,162.26 and 2,618.75

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Solution

The fourth proportional to 8,774.75, 13,162.26 and 2,618.75 is: 3,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.75 : 13,162.26 = 2,618.75 : x
  2. Step 2: Convert to fraction form
    8,774.75/13,162.26 = 2,618.75/x
  3. Step 3: Cross multiply
    8,774.75x = 13,162.26 × 2,618.75
  4. Step 4: Simplify right side
    8,774.75x = 34,468,668.38
  5. Step 5: Solve for x
    x = 34,468,668.38/8,774.75
  6. Step 6: Final answer
    x = 3,928.17

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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.