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Finding the Fourth Proportional to 10,043.26, 15,065.22 and 4,775.56

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Solution

The fourth proportional to 10,043.26, 15,065.22 and 4,775.56 is: 7,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.26 : 15,065.22 = 4,775.56 : x
  2. Step 2: Convert to fraction form
    10,043.26/15,065.22 = 4,775.56/x
  3. Step 3: Cross multiply
    10,043.26x = 15,065.22 × 4,775.56
  4. Step 4: Simplify right side
    10,043.26x = 71,944,842.27
  5. Step 5: Solve for x
    x = 71,944,842.27/10,043.26
  6. Step 6: Final answer
    x = 7,163.50

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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.