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Finding the Fourth Proportional to 11,491.40, 17,230.19 and 5,165.16

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Solution

The fourth proportional to 11,491.40, 17,230.19 and 5,165.16 is: 7,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.40 : 17,230.19 = 5,165.16 : x
  2. Step 2: Convert to fraction form
    11,491.40/17,230.19 = 5,165.16/x
  3. Step 3: Cross multiply
    11,491.40x = 17,230.19 × 5,165.16
  4. Step 4: Simplify right side
    11,491.40x = 88,996,662.35
  5. Step 5: Solve for x
    x = 88,996,662.35/11,491.40
  6. Step 6: Final answer
    x = 7,744.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.