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Finding the Fourth Proportional to 8,667.62, 12,980.16 and 5,538.38

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Solution

The fourth proportional to 8,667.62, 12,980.16 and 5,538.38 is: 8,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.62 : 12,980.16 = 5,538.38 : x
  2. Step 2: Convert to fraction form
    8,667.62/12,980.16 = 5,538.38/x
  3. Step 3: Cross multiply
    8,667.62x = 12,980.16 × 5,538.38
  4. Step 4: Simplify right side
    8,667.62x = 71,889,058.54
  5. Step 5: Solve for x
    x = 71,889,058.54/8,667.62
  6. Step 6: Final answer
    x = 8,293.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.