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Finding the Fourth Proportional to 6,957.32, 10,430.22 and 3,498.44

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Solution

The fourth proportional to 6,957.32, 10,430.22 and 3,498.44 is: 5,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.32 : 10,430.22 = 3,498.44 : x
  2. Step 2: Convert to fraction form
    6,957.32/10,430.22 = 3,498.44/x
  3. Step 3: Cross multiply
    6,957.32x = 10,430.22 × 3,498.44
  4. Step 4: Simplify right side
    6,957.32x = 36,489,498.86
  5. Step 5: Solve for x
    x = 36,489,498.86/6,957.32
  6. Step 6: Final answer
    x = 5,244.76

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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.