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Finding the Fourth Proportional to 7,667.36, 10,573.44 and 4,868

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Solution

The fourth proportional to 7,667.36, 10,573.44 and 4,868 is: 6,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.36 : 10,573.44 = 4,868 : x
  2. Step 2: Convert to fraction form
    7,667.36/10,573.44 = 4,868/x
  3. Step 3: Cross multiply
    7,667.36x = 10,573.44 × 4,868
  4. Step 4: Simplify right side
    7,667.36x = 51,471,505.92
  5. Step 5: Solve for x
    x = 51,471,505.92/7,667.36
  6. Step 6: Final answer
    x = 6,713.07

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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.