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Finding the Fourth Proportional to 11,667.87, 17,501.77 and 6,989.29

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Solution

The fourth proportional to 11,667.87, 17,501.77 and 6,989.29 is: 10,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.87 : 17,501.77 = 6,989.29 : x
  2. Step 2: Convert to fraction form
    11,667.87/17,501.77 = 6,989.29/x
  3. Step 3: Cross multiply
    11,667.87x = 17,501.77 × 6,989.29
  4. Step 4: Simplify right side
    11,667.87x = 122,324,911.03
  5. Step 5: Solve for x
    x = 122,324,911.03/11,667.87
  6. Step 6: Final answer
    x = 10,483.91

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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.