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Finding the Fourth Proportional to 7,807.74, 11,711.49 and 3,912.06

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Solution

The fourth proportional to 7,807.74, 11,711.49 and 3,912.06 is: 5,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.74 : 11,711.49 = 3,912.06 : x
  2. Step 2: Convert to fraction form
    7,807.74/11,711.49 = 3,912.06/x
  3. Step 3: Cross multiply
    7,807.74x = 11,711.49 × 3,912.06
  4. Step 4: Simplify right side
    7,807.74x = 45,816,051.57
  5. Step 5: Solve for x
    x = 45,816,051.57/7,807.74
  6. Step 6: Final answer
    x = 5,868.03

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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.