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Finding the Fourth Proportional to 7,412.67, 11,116.72 and 3,900.77

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Solution

The fourth proportional to 7,412.67, 11,116.72 and 3,900.77 is: 5,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.67 : 11,116.72 = 3,900.77 : x
  2. Step 2: Convert to fraction form
    7,412.67/11,116.72 = 3,900.77/x
  3. Step 3: Cross multiply
    7,412.67x = 11,116.72 × 3,900.77
  4. Step 4: Simplify right side
    7,412.67x = 43,363,785.91
  5. Step 5: Solve for x
    x = 43,363,785.91/7,412.67
  6. Step 6: Final answer
    x = 5,849.95

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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.