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Finding the Fourth Proportional to 7,696.08, 10,620.60 and 4,159.28

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Solution

The fourth proportional to 7,696.08, 10,620.60 and 4,159.28 is: 5,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.08 : 10,620.60 = 4,159.28 : x
  2. Step 2: Convert to fraction form
    7,696.08/10,620.60 = 4,159.28/x
  3. Step 3: Cross multiply
    7,696.08x = 10,620.60 × 4,159.28
  4. Step 4: Simplify right side
    7,696.08x = 44,174,049.17
  5. Step 5: Solve for x
    x = 44,174,049.17/7,696.08
  6. Step 6: Final answer
    x = 5,739.81

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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.