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Finding the Fourth Proportional to 7,696.24, 10,620.48 and 4,717.12

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Solution

The fourth proportional to 7,696.24, 10,620.48 and 4,717.12 is: 6,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.24 : 10,620.48 = 4,717.12 : x
  2. Step 2: Convert to fraction form
    7,696.24/10,620.48 = 4,717.12/x
  3. Step 3: Cross multiply
    7,696.24x = 10,620.48 × 4,717.12
  4. Step 4: Simplify right side
    7,696.24x = 50,098,078.62
  5. Step 5: Solve for x
    x = 50,098,078.62/7,696.24
  6. Step 6: Final answer
    x = 6,509.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.