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Finding the Fourth Proportional to 7,511.68, 11,267.20 and 4,453.12

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Solution

The fourth proportional to 7,511.68, 11,267.20 and 4,453.12 is: 6,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.68 : 11,267.20 = 4,453.12 : x
  2. Step 2: Convert to fraction form
    7,511.68/11,267.20 = 4,453.12/x
  3. Step 3: Cross multiply
    7,511.68x = 11,267.20 × 4,453.12
  4. Step 4: Simplify right side
    7,511.68x = 50,174,193.66
  5. Step 5: Solve for x
    x = 50,174,193.66/7,511.68
  6. Step 6: Final answer
    x = 6,679.49

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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.