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Finding the Fourth Proportional to 7,003.10, 9,664.26 and 3,859.26

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Solution

The fourth proportional to 7,003.10, 9,664.26 and 3,859.26 is: 5,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.10 : 9,664.26 = 3,859.26 : x
  2. Step 2: Convert to fraction form
    7,003.10/9,664.26 = 3,859.26/x
  3. Step 3: Cross multiply
    7,003.10x = 9,664.26 × 3,859.26
  4. Step 4: Simplify right side
    7,003.10x = 37,296,892.05
  5. Step 5: Solve for x
    x = 37,296,892.05/7,003.10
  6. Step 6: Final answer
    x = 5,325.77

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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.