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Finding the Fourth Proportional to 11,872.26, 17,807.76 and 4,476.24

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Solution

The fourth proportional to 11,872.26, 17,807.76 and 4,476.24 is: 6,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.26 : 17,807.76 = 4,476.24 : x
  2. Step 2: Convert to fraction form
    11,872.26/17,807.76 = 4,476.24/x
  3. Step 3: Cross multiply
    11,872.26x = 17,807.76 × 4,476.24
  4. Step 4: Simplify right side
    11,872.26x = 79,711,807.62
  5. Step 5: Solve for x
    x = 79,711,807.62/11,872.26
  6. Step 6: Final answer
    x = 6,714.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.