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Finding the Fourth Proportional to 7,771.24, 11,652.76 and 5,696.33

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Solution

The fourth proportional to 7,771.24, 11,652.76 and 5,696.33 is: 8,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.24 : 11,652.76 = 5,696.33 : x
  2. Step 2: Convert to fraction form
    7,771.24/11,652.76 = 5,696.33/x
  3. Step 3: Cross multiply
    7,771.24x = 11,652.76 × 5,696.33
  4. Step 4: Simplify right side
    7,771.24x = 66,377,915.23
  5. Step 5: Solve for x
    x = 66,377,915.23/7,771.24
  6. Step 6: Final answer
    x = 8,541.48

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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.