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Finding the Fourth Proportional to 11,215.71, 15,477.39 and 6,499.71

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Solution

The fourth proportional to 11,215.71, 15,477.39 and 6,499.71 is: 8,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.71 : 15,477.39 = 6,499.71 : x
  2. Step 2: Convert to fraction form
    11,215.71/15,477.39 = 6,499.71/x
  3. Step 3: Cross multiply
    11,215.71x = 15,477.39 × 6,499.71
  4. Step 4: Simplify right side
    11,215.71x = 100,598,546.56
  5. Step 5: Solve for x
    x = 100,598,546.56/11,215.71
  6. Step 6: Final answer
    x = 8,969.43

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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.