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Finding the Fourth Proportional to 7,448.22, 10,278.77 and 4,091.24

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Solution

The fourth proportional to 7,448.22, 10,278.77 and 4,091.24 is: 5,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.22 : 10,278.77 = 4,091.24 : x
  2. Step 2: Convert to fraction form
    7,448.22/10,278.77 = 4,091.24/x
  3. Step 3: Cross multiply
    7,448.22x = 10,278.77 × 4,091.24
  4. Step 4: Simplify right side
    7,448.22x = 42,052,920.22
  5. Step 5: Solve for x
    x = 42,052,920.22/7,448.22
  6. Step 6: Final answer
    x = 5,646.04

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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.