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Finding the Fourth Proportional to 7,569.92, 11,356.63 and 3,812.33

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Solution

The fourth proportional to 7,569.92, 11,356.63 and 3,812.33 is: 5,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.92 : 11,356.63 = 3,812.33 : x
  2. Step 2: Convert to fraction form
    7,569.92/11,356.63 = 3,812.33/x
  3. Step 3: Cross multiply
    7,569.92x = 11,356.63 × 3,812.33
  4. Step 4: Simplify right side
    7,569.92x = 43,295,240.11
  5. Step 5: Solve for x
    x = 43,295,240.11/7,569.92
  6. Step 6: Final answer
    x = 5,719.38

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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.