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Finding the Fourth Proportional to 7,310.72, 10,091.99 and 4,661.62

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Solution

The fourth proportional to 7,310.72, 10,091.99 and 4,661.62 is: 6,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.72 : 10,091.99 = 4,661.62 : x
  2. Step 2: Convert to fraction form
    7,310.72/10,091.99 = 4,661.62/x
  3. Step 3: Cross multiply
    7,310.72x = 10,091.99 × 4,661.62
  4. Step 4: Simplify right side
    7,310.72x = 47,045,008.85
  5. Step 5: Solve for x
    x = 47,045,008.85/7,310.72
  6. Step 6: Final answer
    x = 6,435.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.