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Finding the Fourth Proportional to 10,866.44, 16,307.82 and 5,027.15

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Solution

The fourth proportional to 10,866.44, 16,307.82 and 5,027.15 is: 7,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.44 : 16,307.82 = 5,027.15 : x
  2. Step 2: Convert to fraction form
    10,866.44/16,307.82 = 5,027.15/x
  3. Step 3: Cross multiply
    10,866.44x = 16,307.82 × 5,027.15
  4. Step 4: Simplify right side
    10,866.44x = 81,981,775.77
  5. Step 5: Solve for x
    x = 81,981,775.77/10,866.44
  6. Step 6: Final answer
    x = 7,544.50

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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.