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Finding the Fourth Proportional to 7,002.63, 9,664.31 and 5,231.16

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Solution

The fourth proportional to 7,002.63, 9,664.31 and 5,231.16 is: 7,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.63 : 9,664.31 = 5,231.16 : x
  2. Step 2: Convert to fraction form
    7,002.63/9,664.31 = 5,231.16/x
  3. Step 3: Cross multiply
    7,002.63x = 9,664.31 × 5,231.16
  4. Step 4: Simplify right side
    7,002.63x = 50,555,551.90
  5. Step 5: Solve for x
    x = 50,555,551.90/7,002.63
  6. Step 6: Final answer
    x = 7,219.51

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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.