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Finding the Fourth Proportional to 7,772.99, 11,657.52 and 2,226.36

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Solution

The fourth proportional to 7,772.99, 11,657.52 and 2,226.36 is: 3,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.99 : 11,657.52 = 2,226.36 : x
  2. Step 2: Convert to fraction form
    7,772.99/11,657.52 = 2,226.36/x
  3. Step 3: Cross multiply
    7,772.99x = 11,657.52 × 2,226.36
  4. Step 4: Simplify right side
    7,772.99x = 25,953,836.23
  5. Step 5: Solve for x
    x = 25,953,836.23/7,772.99
  6. Step 6: Final answer
    x = 3,338.98

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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.