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Finding the Fourth Proportional to 7,952.80, 11,918.90 and 3,267.52

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Solution

The fourth proportional to 7,952.80, 11,918.90 and 3,267.52 is: 4,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.80 : 11,918.90 = 3,267.52 : x
  2. Step 2: Convert to fraction form
    7,952.80/11,918.90 = 3,267.52/x
  3. Step 3: Cross multiply
    7,952.80x = 11,918.90 × 3,267.52
  4. Step 4: Simplify right side
    7,952.80x = 38,945,244.13
  5. Step 5: Solve for x
    x = 38,945,244.13/7,952.80
  6. Step 6: Final answer
    x = 4,897.05

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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.