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Finding the Fourth Proportional to 7,336.96, 11,009.52 and 5,696.80

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Solution

The fourth proportional to 7,336.96, 11,009.52 and 5,696.80 is: 8,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336.96 : 11,009.52 = 5,696.80 : x
  2. Step 2: Convert to fraction form
    7,336.96/11,009.52 = 5,696.80/x
  3. Step 3: Cross multiply
    7,336.96x = 11,009.52 × 5,696.80
  4. Step 4: Simplify right side
    7,336.96x = 62,719,033.54
  5. Step 5: Solve for x
    x = 62,719,033.54/7,336.96
  6. Step 6: Final answer
    x = 8,548.37

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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.