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Finding the Fourth Proportional to 10,035.72, 13,852.08 and 5,844.78

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Solution

The fourth proportional to 10,035.72, 13,852.08 and 5,844.78 is: 8,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.72 : 13,852.08 = 5,844.78 : x
  2. Step 2: Convert to fraction form
    10,035.72/13,852.08 = 5,844.78/x
  3. Step 3: Cross multiply
    10,035.72x = 13,852.08 × 5,844.78
  4. Step 4: Simplify right side
    10,035.72x = 80,962,360.14
  5. Step 5: Solve for x
    x = 80,962,360.14/10,035.72
  6. Step 6: Final answer
    x = 8,067.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.