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Finding the Fourth Proportional to 7,141.80, 10,711.02 and 1,946.44

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Solution

The fourth proportional to 7,141.80, 10,711.02 and 1,946.44 is: 2,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.80 : 10,711.02 = 1,946.44 : x
  2. Step 2: Convert to fraction form
    7,141.80/10,711.02 = 1,946.44/x
  3. Step 3: Cross multiply
    7,141.80x = 10,711.02 × 1,946.44
  4. Step 4: Simplify right side
    7,141.80x = 20,848,357.77
  5. Step 5: Solve for x
    x = 20,848,357.77/7,141.80
  6. Step 6: Final answer
    x = 2,919.20

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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.