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Finding the Fourth Proportional to 11,211.87, 15,471.72 and 6,496.05

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Solution

The fourth proportional to 11,211.87, 15,471.72 and 6,496.05 is: 8,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.87 : 15,471.72 = 6,496.05 : x
  2. Step 2: Convert to fraction form
    11,211.87/15,471.72 = 6,496.05/x
  3. Step 3: Cross multiply
    11,211.87x = 15,471.72 × 6,496.05
  4. Step 4: Simplify right side
    11,211.87x = 100,505,066.71
  5. Step 5: Solve for x
    x = 100,505,066.71/11,211.87
  6. Step 6: Final answer
    x = 8,964.17

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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.