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Finding the Fourth Proportional to 11,213.30, 15,473.86 and 6,429.82

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Solution

The fourth proportional to 11,213.30, 15,473.86 and 6,429.82 is: 8,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.30 : 15,473.86 = 6,429.82 : x
  2. Step 2: Convert to fraction form
    11,213.30/15,473.86 = 6,429.82/x
  3. Step 3: Cross multiply
    11,213.30x = 15,473.86 × 6,429.82
  4. Step 4: Simplify right side
    11,213.30x = 99,494,170.36
  5. Step 5: Solve for x
    x = 99,494,170.36/11,213.30
  6. Step 6: Final answer
    x = 8,872.87

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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.