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Finding the Fourth Proportional to 11,214.91, 15,474.09 and 6,496.45

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Solution

The fourth proportional to 11,214.91, 15,474.09 and 6,496.45 is: 8,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.91 : 15,474.09 = 6,496.45 : x
  2. Step 2: Convert to fraction form
    11,214.91/15,474.09 = 6,496.45/x
  3. Step 3: Cross multiply
    11,214.91x = 15,474.09 × 6,496.45
  4. Step 4: Simplify right side
    11,214.91x = 100,526,688.16
  5. Step 5: Solve for x
    x = 100,526,688.16/11,214.91
  6. Step 6: Final answer
    x = 8,963.67

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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.