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Finding the Fourth Proportional to 8,726.25, 13,090.22 and 2,801.64

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Solution

The fourth proportional to 8,726.25, 13,090.22 and 2,801.64 is: 4,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.25 : 13,090.22 = 2,801.64 : x
  2. Step 2: Convert to fraction form
    8,726.25/13,090.22 = 2,801.64/x
  3. Step 3: Cross multiply
    8,726.25x = 13,090.22 × 2,801.64
  4. Step 4: Simplify right side
    8,726.25x = 36,674,069.95
  5. Step 5: Solve for x
    x = 36,674,069.95/8,726.25
  6. Step 6: Final answer
    x = 4,202.73

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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.