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Finding the Fourth Proportional to 10,048.96, 13,864.11 and 5,799.88

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Solution

The fourth proportional to 10,048.96, 13,864.11 and 5,799.88 is: 8,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.96 : 13,864.11 = 5,799.88 : x
  2. Step 2: Convert to fraction form
    10,048.96/13,864.11 = 5,799.88/x
  3. Step 3: Cross multiply
    10,048.96x = 13,864.11 × 5,799.88
  4. Step 4: Simplify right side
    10,048.96x = 80,410,174.31
  5. Step 5: Solve for x
    x = 80,410,174.31/10,048.96
  6. Step 6: Final answer
    x = 8,001.84

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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.