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Finding the Fourth Proportional to 8,189.85, 11,300.54 and 7,069.62

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Solution

The fourth proportional to 8,189.85, 11,300.54 and 7,069.62 is: 9,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.85 : 11,300.54 = 7,069.62 : x
  2. Step 2: Convert to fraction form
    8,189.85/11,300.54 = 7,069.62/x
  3. Step 3: Cross multiply
    8,189.85x = 11,300.54 × 7,069.62
  4. Step 4: Simplify right side
    8,189.85x = 79,890,488.25
  5. Step 5: Solve for x
    x = 79,890,488.25/8,189.85
  6. Step 6: Final answer
    x = 9,754.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.