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Finding the Fourth Proportional to 10,054.73, 13,872.01 and 5,805.67

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Solution

The fourth proportional to 10,054.73, 13,872.01 and 5,805.67 is: 8,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.73 : 13,872.01 = 5,805.67 : x
  2. Step 2: Convert to fraction form
    10,054.73/13,872.01 = 5,805.67/x
  3. Step 3: Cross multiply
    10,054.73x = 13,872.01 × 5,805.67
  4. Step 4: Simplify right side
    10,054.73x = 80,536,312.30
  5. Step 5: Solve for x
    x = 80,536,312.30/10,054.73
  6. Step 6: Final answer
    x = 8,009.79

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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.