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Finding the Fourth Proportional to 11,210.81, 15,471.33 and 6,964.22

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Solution

The fourth proportional to 11,210.81, 15,471.33 and 6,964.22 is: 9,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.81 : 15,471.33 = 6,964.22 : x
  2. Step 2: Convert to fraction form
    11,210.81/15,471.33 = 6,964.22/x
  3. Step 3: Cross multiply
    11,210.81x = 15,471.33 × 6,964.22
  4. Step 4: Simplify right side
    11,210.81x = 107,745,739.53
  5. Step 5: Solve for x
    x = 107,745,739.53/11,210.81
  6. Step 6: Final answer
    x = 9,610.88

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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.