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Finding the Fourth Proportional to 7,774.09, 10,727.92 and 4,237.22

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Solution

The fourth proportional to 7,774.09, 10,727.92 and 4,237.22 is: 5,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.09 : 10,727.92 = 4,237.22 : x
  2. Step 2: Convert to fraction form
    7,774.09/10,727.92 = 4,237.22/x
  3. Step 3: Cross multiply
    7,774.09x = 10,727.92 × 4,237.22
  4. Step 4: Simplify right side
    7,774.09x = 45,456,557.18
  5. Step 5: Solve for x
    x = 45,456,557.18/7,774.09
  6. Step 6: Final answer
    x = 5,847.19

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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.