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Finding the Fourth Proportional to 10,667.48, 14,731.26 and 8,179.16

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Solution

The fourth proportional to 10,667.48, 14,731.26 and 8,179.16 is: 11,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.48 : 14,731.26 = 8,179.16 : x
  2. Step 2: Convert to fraction form
    10,667.48/14,731.26 = 8,179.16/x
  3. Step 3: Cross multiply
    10,667.48x = 14,731.26 × 8,179.16
  4. Step 4: Simplify right side
    10,667.48x = 120,489,332.54
  5. Step 5: Solve for x
    x = 120,489,332.54/10,667.48
  6. Step 6: Final answer
    x = 11,295.01

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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.