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Finding the Fourth Proportional to 7,334.96, 11,006.52 and 5,694.80

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Solution

The fourth proportional to 7,334.96, 11,006.52 and 5,694.80 is: 8,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.96 : 11,006.52 = 5,694.80 : x
  2. Step 2: Convert to fraction form
    7,334.96/11,006.52 = 5,694.80/x
  3. Step 3: Cross multiply
    7,334.96x = 11,006.52 × 5,694.80
  4. Step 4: Simplify right side
    7,334.96x = 62,679,930.10
  5. Step 5: Solve for x
    x = 62,679,930.10/7,334.96
  6. Step 6: Final answer
    x = 8,545.37

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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.