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Finding the Fourth Proportional to 11,981.34, 16,529.54 and 8,005.05

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Solution

The fourth proportional to 11,981.34, 16,529.54 and 8,005.05 is: 11,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.34 : 16,529.54 = 8,005.05 : x
  2. Step 2: Convert to fraction form
    11,981.34/16,529.54 = 8,005.05/x
  3. Step 3: Cross multiply
    11,981.34x = 16,529.54 × 8,005.05
  4. Step 4: Simplify right side
    11,981.34x = 132,319,754.15
  5. Step 5: Solve for x
    x = 132,319,754.15/11,981.34
  6. Step 6: Final answer
    x = 11,043.82

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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.