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Finding the Fourth Proportional to 7,563.78, 11,341.22 and 2,297.20

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Solution

The fourth proportional to 7,563.78, 11,341.22 and 2,297.20 is: 3,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.78 : 11,341.22 = 2,297.20 : x
  2. Step 2: Convert to fraction form
    7,563.78/11,341.22 = 2,297.20/x
  3. Step 3: Cross multiply
    7,563.78x = 11,341.22 × 2,297.20
  4. Step 4: Simplify right side
    7,563.78x = 26,053,050.58
  5. Step 5: Solve for x
    x = 26,053,050.58/7,563.78
  6. Step 6: Final answer
    x = 3,444.45

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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.