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Finding the Fourth Proportional to 7,964.09, 10,989.24 and 4,606.24

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Solution

The fourth proportional to 7,964.09, 10,989.24 and 4,606.24 is: 6,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.09 : 10,989.24 = 4,606.24 : x
  2. Step 2: Convert to fraction form
    7,964.09/10,989.24 = 4,606.24/x
  3. Step 3: Cross multiply
    7,964.09x = 10,989.24 × 4,606.24
  4. Step 4: Simplify right side
    7,964.09x = 50,619,021.91
  5. Step 5: Solve for x
    x = 50,619,021.91/7,964.09
  6. Step 6: Final answer
    x = 6,355.91

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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.