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Finding the Fourth Proportional to 11,216.56, 15,478.68 and 6,682.40

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Solution

The fourth proportional to 11,216.56, 15,478.68 and 6,682.40 is: 9,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.56 : 15,478.68 = 6,682.40 : x
  2. Step 2: Convert to fraction form
    11,216.56/15,478.68 = 6,682.40/x
  3. Step 3: Cross multiply
    11,216.56x = 15,478.68 × 6,682.40
  4. Step 4: Simplify right side
    11,216.56x = 103,434,731.23
  5. Step 5: Solve for x
    x = 103,434,731.23/11,216.56
  6. Step 6: Final answer
    x = 9,221.61

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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.