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Finding the Fourth Proportional to 11,529.84, 15,910.10 and 6,813.22

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Solution

The fourth proportional to 11,529.84, 15,910.10 and 6,813.22 is: 9,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.84 : 15,910.10 = 6,813.22 : x
  2. Step 2: Convert to fraction form
    11,529.84/15,910.10 = 6,813.22/x
  3. Step 3: Cross multiply
    11,529.84x = 15,910.10 × 6,813.22
  4. Step 4: Simplify right side
    11,529.84x = 108,399,011.52
  5. Step 5: Solve for x
    x = 108,399,011.52/11,529.84
  6. Step 6: Final answer
    x = 9,401.61

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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.