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Finding the Fourth Proportional to 7,616.94, 11,393.81 and 7,150.38

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Solution

The fourth proportional to 7,616.94, 11,393.81 and 7,150.38 is: 10,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.94 : 11,393.81 = 7,150.38 : x
  2. Step 2: Convert to fraction form
    7,616.94/11,393.81 = 7,150.38/x
  3. Step 3: Cross multiply
    7,616.94x = 11,393.81 × 7,150.38
  4. Step 4: Simplify right side
    7,616.94x = 81,470,071.15
  5. Step 5: Solve for x
    x = 81,470,071.15/7,616.94
  6. Step 6: Final answer
    x = 10,695.91

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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.