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Finding the Fourth Proportional to 8,667.72, 13,014.54 and 8,365.32

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Solution

The fourth proportional to 8,667.72, 13,014.54 and 8,365.32 is: 12,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.72 : 13,014.54 = 8,365.32 : x
  2. Step 2: Convert to fraction form
    8,667.72/13,014.54 = 8,365.32/x
  3. Step 3: Cross multiply
    8,667.72x = 13,014.54 × 8,365.32
  4. Step 4: Simplify right side
    8,667.72x = 108,870,791.75
  5. Step 5: Solve for x
    x = 108,870,791.75/8,667.72
  6. Step 6: Final answer
    x = 12,560.49

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Why These Related Problems?

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