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Finding the Fourth Proportional to 8,618.34, 12,928.73 and 2,776.26

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Solution

The fourth proportional to 8,618.34, 12,928.73 and 2,776.26 is: 4,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.34 : 12,928.73 = 2,776.26 : x
  2. Step 2: Convert to fraction form
    8,618.34/12,928.73 = 2,776.26/x
  3. Step 3: Cross multiply
    8,618.34x = 12,928.73 × 2,776.26
  4. Step 4: Simplify right side
    8,618.34x = 35,893,515.95
  5. Step 5: Solve for x
    x = 35,893,515.95/8,618.34
  6. Step 6: Final answer
    x = 4,164.78

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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.