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Finding the Fourth Proportional to 7,447.66, 11,176.19 and 4,162.91

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Solution

The fourth proportional to 7,447.66, 11,176.19 and 4,162.91 is: 6,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.66 : 11,176.19 = 4,162.91 : x
  2. Step 2: Convert to fraction form
    7,447.66/11,176.19 = 4,162.91/x
  3. Step 3: Cross multiply
    7,447.66x = 11,176.19 × 4,162.91
  4. Step 4: Simplify right side
    7,447.66x = 46,525,435.44
  5. Step 5: Solve for x
    x = 46,525,435.44/7,447.66
  6. Step 6: Final answer
    x = 6,246.99

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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.