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Finding the Fourth Proportional to 12,883.76, 19,327.12 and 4,562

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Solution

The fourth proportional to 12,883.76, 19,327.12 and 4,562 is: 6,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.76 : 19,327.12 = 4,562 : x
  2. Step 2: Convert to fraction form
    12,883.76/19,327.12 = 4,562/x
  3. Step 3: Cross multiply
    12,883.76x = 19,327.12 × 4,562
  4. Step 4: Simplify right side
    12,883.76x = 88,170,321.44
  5. Step 5: Solve for x
    x = 88,170,321.44/12,883.76
  6. Step 6: Final answer
    x = 6,843.52

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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.