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Finding the Fourth Proportional to 11,829.87, 16,325.10 and 6,524.73

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Solution

The fourth proportional to 11,829.87, 16,325.10 and 6,524.73 is: 9,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.87 : 16,325.10 = 6,524.73 : x
  2. Step 2: Convert to fraction form
    11,829.87/16,325.10 = 6,524.73/x
  3. Step 3: Cross multiply
    11,829.87x = 16,325.10 × 6,524.73
  4. Step 4: Simplify right side
    11,829.87x = 106,516,869.72
  5. Step 5: Solve for x
    x = 106,516,869.72/11,829.87
  6. Step 6: Final answer
    x = 9,004.06

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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.