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Finding the Fourth Proportional to 8,454.48, 11,667.24 and 5,097.12

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Solution

The fourth proportional to 8,454.48, 11,667.24 and 5,097.12 is: 7,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.48 : 11,667.24 = 5,097.12 : x
  2. Step 2: Convert to fraction form
    8,454.48/11,667.24 = 5,097.12/x
  3. Step 3: Cross multiply
    8,454.48x = 11,667.24 × 5,097.12
  4. Step 4: Simplify right side
    8,454.48x = 59,469,322.35
  5. Step 5: Solve for x
    x = 59,469,322.35/8,454.48
  6. Step 6: Final answer
    x = 7,034.06

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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.