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Finding the Fourth Proportional to 10,165.65, 14,022.99 and 7,145.42

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Solution

The fourth proportional to 10,165.65, 14,022.99 and 7,145.42 is: 9,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.65 : 14,022.99 = 7,145.42 : x
  2. Step 2: Convert to fraction form
    10,165.65/14,022.99 = 7,145.42/x
  3. Step 3: Cross multiply
    10,165.65x = 14,022.99 × 7,145.42
  4. Step 4: Simplify right side
    10,165.65x = 100,200,083.09
  5. Step 5: Solve for x
    x = 100,200,083.09/10,165.65
  6. Step 6: Final answer
    x = 9,856.73

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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.