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Finding the Fourth Proportional to 10,866.88, 16,287.78 and 5,011.24

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Solution

The fourth proportional to 10,866.88, 16,287.78 and 5,011.24 is: 7,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.88 : 16,287.78 = 5,011.24 : x
  2. Step 2: Convert to fraction form
    10,866.88/16,287.78 = 5,011.24/x
  3. Step 3: Cross multiply
    10,866.88x = 16,287.78 × 5,011.24
  4. Step 4: Simplify right side
    10,866.88x = 81,621,974.65
  5. Step 5: Solve for x
    x = 81,621,974.65/10,866.88
  6. Step 6: Final answer
    x = 7,511.08

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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.