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Finding the Fourth Proportional to 6,722.64, 10,086.30 and 2,341.26

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Solution

The fourth proportional to 6,722.64, 10,086.30 and 2,341.26 is: 3,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.64 : 10,086.30 = 2,341.26 : x
  2. Step 2: Convert to fraction form
    6,722.64/10,086.30 = 2,341.26/x
  3. Step 3: Cross multiply
    6,722.64x = 10,086.30 × 2,341.26
  4. Step 4: Simplify right side
    6,722.64x = 23,614,650.74
  5. Step 5: Solve for x
    x = 23,614,650.74/6,722.64
  6. Step 6: Final answer
    x = 3,512.70

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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.