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Finding the Fourth Proportional to 10,203.44, 15,296.73 and 3,877.01

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Solution

The fourth proportional to 10,203.44, 15,296.73 and 3,877.01 is: 5,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.44 : 15,296.73 = 3,877.01 : x
  2. Step 2: Convert to fraction form
    10,203.44/15,296.73 = 3,877.01/x
  3. Step 3: Cross multiply
    10,203.44x = 15,296.73 × 3,877.01
  4. Step 4: Simplify right side
    10,203.44x = 59,305,544.17
  5. Step 5: Solve for x
    x = 59,305,544.17/10,203.44
  6. Step 6: Final answer
    x = 5,812.31

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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.