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Finding the Fourth Proportional to 8,324.56, 12,482.66 and 2,775.94

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Solution

The fourth proportional to 8,324.56, 12,482.66 and 2,775.94 is: 4,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.56 : 12,482.66 = 2,775.94 : x
  2. Step 2: Convert to fraction form
    8,324.56/12,482.66 = 2,775.94/x
  3. Step 3: Cross multiply
    8,324.56x = 12,482.66 × 2,775.94
  4. Step 4: Simplify right side
    8,324.56x = 34,651,115.20
  5. Step 5: Solve for x
    x = 34,651,115.20/8,324.56
  6. Step 6: Final answer
    x = 4,162.52

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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.