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Finding the Fourth Proportional to 7,998.80, 11,998.37 and 6,356.50

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Solution

The fourth proportional to 7,998.80, 11,998.37 and 6,356.50 is: 9,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.80 : 11,998.37 = 6,356.50 : x
  2. Step 2: Convert to fraction form
    7,998.80/11,998.37 = 6,356.50/x
  3. Step 3: Cross multiply
    7,998.80x = 11,998.37 × 6,356.50
  4. Step 4: Simplify right side
    7,998.80x = 76,267,624.80
  5. Step 5: Solve for x
    x = 76,267,624.80/7,998.80
  6. Step 6: Final answer
    x = 9,534.89

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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.