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Finding the Fourth Proportional to 7,562.44, 11,329.08 and 6,328

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Solution

The fourth proportional to 7,562.44, 11,329.08 and 6,328 is: 9,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.44 : 11,329.08 = 6,328 : x
  2. Step 2: Convert to fraction form
    7,562.44/11,329.08 = 6,328/x
  3. Step 3: Cross multiply
    7,562.44x = 11,329.08 × 6,328
  4. Step 4: Simplify right side
    7,562.44x = 71,690,418.24
  5. Step 5: Solve for x
    x = 71,690,418.24/7,562.44
  6. Step 6: Final answer
    x = 9,479.80

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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.