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Finding the Fourth Proportional to 7,165.99, 9,889.49 and 4,181.65

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Solution

The fourth proportional to 7,165.99, 9,889.49 and 4,181.65 is: 5,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.99 : 9,889.49 = 4,181.65 : x
  2. Step 2: Convert to fraction form
    7,165.99/9,889.49 = 4,181.65/x
  3. Step 3: Cross multiply
    7,165.99x = 9,889.49 × 4,181.65
  4. Step 4: Simplify right side
    7,165.99x = 41,354,399.40
  5. Step 5: Solve for x
    x = 41,354,399.40/7,165.99
  6. Step 6: Final answer
    x = 5,770.92

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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.