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Finding the Fourth Proportional to 7,674.62, 11,511.41 and 2,993.77

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Solution

The fourth proportional to 7,674.62, 11,511.41 and 2,993.77 is: 4,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.62 : 11,511.41 = 2,993.77 : x
  2. Step 2: Convert to fraction form
    7,674.62/11,511.41 = 2,993.77/x
  3. Step 3: Cross multiply
    7,674.62x = 11,511.41 × 2,993.77
  4. Step 4: Simplify right side
    7,674.62x = 34,462,492.62
  5. Step 5: Solve for x
    x = 34,462,492.62/7,674.62
  6. Step 6: Final answer
    x = 4,490.45

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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.