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Finding the Fourth Proportional to 11,006.58, 15,183.94 and 6,467.76

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Solution

The fourth proportional to 11,006.58, 15,183.94 and 6,467.76 is: 8,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.58 : 15,183.94 = 6,467.76 : x
  2. Step 2: Convert to fraction form
    11,006.58/15,183.94 = 6,467.76/x
  3. Step 3: Cross multiply
    11,006.58x = 15,183.94 × 6,467.76
  4. Step 4: Simplify right side
    11,006.58x = 98,206,079.77
  5. Step 5: Solve for x
    x = 98,206,079.77/11,006.58
  6. Step 6: Final answer
    x = 8,922.49

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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.