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Finding the Fourth Proportional to 7,464.20, 11,196.28 and 4,008.20

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Solution

The fourth proportional to 7,464.20, 11,196.28 and 4,008.20 is: 6,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.20 : 11,196.28 = 4,008.20 : x
  2. Step 2: Convert to fraction form
    7,464.20/11,196.28 = 4,008.20/x
  3. Step 3: Cross multiply
    7,464.20x = 11,196.28 × 4,008.20
  4. Step 4: Simplify right side
    7,464.20x = 44,876,929.50
  5. Step 5: Solve for x
    x = 44,876,929.50/7,464.20
  6. Step 6: Final answer
    x = 6,012.29

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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.