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Finding the Fourth Proportional to 7,463.70, 11,196.29 and 2,782.62

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Solution

The fourth proportional to 7,463.70, 11,196.29 and 2,782.62 is: 4,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.70 : 11,196.29 = 2,782.62 : x
  2. Step 2: Convert to fraction form
    7,463.70/11,196.29 = 2,782.62/x
  3. Step 3: Cross multiply
    7,463.70x = 11,196.29 × 2,782.62
  4. Step 4: Simplify right side
    7,463.70x = 31,155,006.57
  5. Step 5: Solve for x
    x = 31,155,006.57/7,463.70
  6. Step 6: Final answer
    x = 4,174.20

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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.