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Finding the Fourth Proportional to 11,834.68, 16,331.95 and 6,529.87

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Solution

The fourth proportional to 11,834.68, 16,331.95 and 6,529.87 is: 9,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.68 : 16,331.95 = 6,529.87 : x
  2. Step 2: Convert to fraction form
    11,834.68/16,331.95 = 6,529.87/x
  3. Step 3: Cross multiply
    11,834.68x = 16,331.95 × 6,529.87
  4. Step 4: Simplify right side
    11,834.68x = 106,645,510.35
  5. Step 5: Solve for x
    x = 106,645,510.35/11,834.68
  6. Step 6: Final answer
    x = 9,011.27

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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.