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Finding the Fourth Proportional to 7,463.91, 11,197.46 and 4,694.19

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Solution

The fourth proportional to 7,463.91, 11,197.46 and 4,694.19 is: 7,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.91 : 11,197.46 = 4,694.19 : x
  2. Step 2: Convert to fraction form
    7,463.91/11,197.46 = 4,694.19/x
  3. Step 3: Cross multiply
    7,463.91x = 11,197.46 × 4,694.19
  4. Step 4: Simplify right side
    7,463.91x = 52,563,004.76
  5. Step 5: Solve for x
    x = 52,563,004.76/7,463.91
  6. Step 6: Final answer
    x = 7,042.29

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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.