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Finding the Fourth Proportional to 10,054.79, 13,874.04 and 5,747.81

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Solution

The fourth proportional to 10,054.79, 13,874.04 and 5,747.81 is: 7,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.79 : 13,874.04 = 5,747.81 : x
  2. Step 2: Convert to fraction form
    10,054.79/13,874.04 = 5,747.81/x
  3. Step 3: Cross multiply
    10,054.79x = 13,874.04 × 5,747.81
  4. Step 4: Simplify right side
    10,054.79x = 79,745,380.54
  5. Step 5: Solve for x
    x = 79,745,380.54/10,054.79
  6. Step 6: Final answer
    x = 7,931.09

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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.