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Finding the Fourth Proportional to 7,417.58, 11,129.68 and 3,906.74

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Solution

The fourth proportional to 7,417.58, 11,129.68 and 3,906.74 is: 5,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.58 : 11,129.68 = 3,906.74 : x
  2. Step 2: Convert to fraction form
    7,417.58/11,129.68 = 3,906.74/x
  3. Step 3: Cross multiply
    7,417.58x = 11,129.68 × 3,906.74
  4. Step 4: Simplify right side
    7,417.58x = 43,480,766.04
  5. Step 5: Solve for x
    x = 43,480,766.04/7,417.58
  6. Step 6: Final answer
    x = 5,861.85

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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.