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Finding the Fourth Proportional to 11,027.71, 15,226.19 and 6,784.48

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Solution

The fourth proportional to 11,027.71, 15,226.19 and 6,784.48 is: 9,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.71 : 15,226.19 = 6,784.48 : x
  2. Step 2: Convert to fraction form
    11,027.71/15,226.19 = 6,784.48/x
  3. Step 3: Cross multiply
    11,027.71x = 15,226.19 × 6,784.48
  4. Step 4: Simplify right side
    11,027.71x = 103,301,781.53
  5. Step 5: Solve for x
    x = 103,301,781.53/11,027.71
  6. Step 6: Final answer
    x = 9,367.47

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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.