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Finding the Fourth Proportional to 7,616.16, 11,424.22 and 2,069.48

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Solution

The fourth proportional to 7,616.16, 11,424.22 and 2,069.48 is: 3,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.16 : 11,424.22 = 2,069.48 : x
  2. Step 2: Convert to fraction form
    7,616.16/11,424.22 = 2,069.48/x
  3. Step 3: Cross multiply
    7,616.16x = 11,424.22 × 2,069.48
  4. Step 4: Simplify right side
    7,616.16x = 23,642,194.81
  5. Step 5: Solve for x
    x = 23,642,194.81/7,616.16
  6. Step 6: Final answer
    x = 3,104.21

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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.