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Finding the Fourth Proportional to 7,675.66, 11,511.03 and 2,994.53

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Solution

The fourth proportional to 7,675.66, 11,511.03 and 2,994.53 is: 4,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.66 : 11,511.03 = 2,994.53 : x
  2. Step 2: Convert to fraction form
    7,675.66/11,511.03 = 2,994.53/x
  3. Step 3: Cross multiply
    7,675.66x = 11,511.03 × 2,994.53
  4. Step 4: Simplify right side
    7,675.66x = 34,470,078.34
  5. Step 5: Solve for x
    x = 34,470,078.34/7,675.66
  6. Step 6: Final answer
    x = 4,490.83

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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.