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Finding the Fourth Proportional to 7,790.99, 11,691.34 and 3,110.30

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Solution

The fourth proportional to 7,790.99, 11,691.34 and 3,110.30 is: 4,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.99 : 11,691.34 = 3,110.30 : x
  2. Step 2: Convert to fraction form
    7,790.99/11,691.34 = 3,110.30/x
  3. Step 3: Cross multiply
    7,790.99x = 11,691.34 × 3,110.30
  4. Step 4: Simplify right side
    7,790.99x = 36,363,552.41
  5. Step 5: Solve for x
    x = 36,363,552.41/7,790.99
  6. Step 6: Final answer
    x = 4,667.39

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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.