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Finding the Fourth Proportional to 10,787.88, 16,175.11 and 4,544.68

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Solution

The fourth proportional to 10,787.88, 16,175.11 and 4,544.68 is: 6,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.88 : 16,175.11 = 4,544.68 : x
  2. Step 2: Convert to fraction form
    10,787.88/16,175.11 = 4,544.68/x
  3. Step 3: Cross multiply
    10,787.88x = 16,175.11 × 4,544.68
  4. Step 4: Simplify right side
    10,787.88x = 73,510,698.91
  5. Step 5: Solve for x
    x = 73,510,698.91/10,787.88
  6. Step 6: Final answer
    x = 6,814.19

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Why These Related Problems?

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