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Finding the Fourth Proportional to 7,569.78, 11,338.26 and 3,666

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Solution

The fourth proportional to 7,569.78, 11,338.26 and 3,666 is: 5,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.78 : 11,338.26 = 3,666 : x
  2. Step 2: Convert to fraction form
    7,569.78/11,338.26 = 3,666/x
  3. Step 3: Cross multiply
    7,569.78x = 11,338.26 × 3,666
  4. Step 4: Simplify right side
    7,569.78x = 41,566,061.16
  5. Step 5: Solve for x
    x = 41,566,061.16/7,569.78
  6. Step 6: Final answer
    x = 5,491.05

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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.