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Finding the Fourth Proportional to 7,665.81, 11,498.70 and 2,119.14

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Solution

The fourth proportional to 7,665.81, 11,498.70 and 2,119.14 is: 3,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.81 : 11,498.70 = 2,119.14 : x
  2. Step 2: Convert to fraction form
    7,665.81/11,498.70 = 2,119.14/x
  3. Step 3: Cross multiply
    7,665.81x = 11,498.70 × 2,119.14
  4. Step 4: Simplify right side
    7,665.81x = 24,367,355.12
  5. Step 5: Solve for x
    x = 24,367,355.12/7,665.81
  6. Step 6: Final answer
    x = 3,178.71

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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.