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Finding the Fourth Proportional to 10,203.44, 15,268.68 and 7,997

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Solution

The fourth proportional to 10,203.44, 15,268.68 and 7,997 is: 11,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.44 : 15,268.68 = 7,997 : x
  2. Step 2: Convert to fraction form
    10,203.44/15,268.68 = 7,997/x
  3. Step 3: Cross multiply
    10,203.44x = 15,268.68 × 7,997
  4. Step 4: Simplify right side
    10,203.44x = 122,103,633.96
  5. Step 5: Solve for x
    x = 122,103,633.96/10,203.44
  6. Step 6: Final answer
    x = 11,966.91

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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.