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Finding the Fourth Proportional to 8,474.66, 11,667.75 and 7,277.28

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Solution

The fourth proportional to 8,474.66, 11,667.75 and 7,277.28 is: 10,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.66 : 11,667.75 = 7,277.28 : x
  2. Step 2: Convert to fraction form
    8,474.66/11,667.75 = 7,277.28/x
  3. Step 3: Cross multiply
    8,474.66x = 11,667.75 × 7,277.28
  4. Step 4: Simplify right side
    8,474.66x = 84,909,412.68
  5. Step 5: Solve for x
    x = 84,909,412.68/8,474.66
  6. Step 6: Final answer
    x = 10,019.21

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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.