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Finding the Fourth Proportional to 10,001.76, 15,003.84 and 3,429.12

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Solution

The fourth proportional to 10,001.76, 15,003.84 and 3,429.12 is: 5,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.76 : 15,003.84 = 3,429.12 : x
  2. Step 2: Convert to fraction form
    10,001.76/15,003.84 = 3,429.12/x
  3. Step 3: Cross multiply
    10,001.76x = 15,003.84 × 3,429.12
  4. Step 4: Simplify right side
    10,001.76x = 51,449,967.82
  5. Step 5: Solve for x
    x = 51,449,967.82/10,001.76
  6. Step 6: Final answer
    x = 5,144.09

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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.