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Finding the Fourth Proportional to 8,281.07, 12,422.84 and 2,735

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Solution

The fourth proportional to 8,281.07, 12,422.84 and 2,735 is: 4,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.07 : 12,422.84 = 2,735 : x
  2. Step 2: Convert to fraction form
    8,281.07/12,422.84 = 2,735/x
  3. Step 3: Cross multiply
    8,281.07x = 12,422.84 × 2,735
  4. Step 4: Simplify right side
    8,281.07x = 33,976,467.40
  5. Step 5: Solve for x
    x = 33,976,467.40/8,281.07
  6. Step 6: Final answer
    x = 4,102.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.