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Finding the Fourth Proportional to 11,834.71, 16,331.86 and 6,529.53

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Solution

The fourth proportional to 11,834.71, 16,331.86 and 6,529.53 is: 9,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.71 : 16,331.86 = 6,529.53 : x
  2. Step 2: Convert to fraction form
    11,834.71/16,331.86 = 6,529.53/x
  3. Step 3: Cross multiply
    11,834.71x = 16,331.86 × 6,529.53
  4. Step 4: Simplify right side
    11,834.71x = 106,639,347.37
  5. Step 5: Solve for x
    x = 106,639,347.37/11,834.71
  6. Step 6: Final answer
    x = 9,010.73

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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.