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Finding the Fourth Proportional to 7,675.85, 11,511.32 and 2,994.71

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Solution

The fourth proportional to 7,675.85, 11,511.32 and 2,994.71 is: 4,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.85 : 11,511.32 = 2,994.71 : x
  2. Step 2: Convert to fraction form
    7,675.85/11,511.32 = 2,994.71/x
  3. Step 3: Cross multiply
    7,675.85x = 11,511.32 × 2,994.71
  4. Step 4: Simplify right side
    7,675.85x = 34,473,078.92
  5. Step 5: Solve for x
    x = 34,473,078.92/7,675.85
  6. Step 6: Final answer
    x = 4,491.11

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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.