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Finding the Fourth Proportional to 7,451.81, 11,177.67 and 1,905.14

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Solution

The fourth proportional to 7,451.81, 11,177.67 and 1,905.14 is: 2,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.81 : 11,177.67 = 1,905.14 : x
  2. Step 2: Convert to fraction form
    7,451.81/11,177.67 = 1,905.14/x
  3. Step 3: Cross multiply
    7,451.81x = 11,177.67 × 1,905.14
  4. Step 4: Simplify right side
    7,451.81x = 21,295,061.31
  5. Step 5: Solve for x
    x = 21,295,061.31/7,451.81
  6. Step 6: Final answer
    x = 2,857.70

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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.