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Finding the Fourth Proportional to 11,441.52, 15,789.43 and 6,406.18

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Solution

The fourth proportional to 11,441.52, 15,789.43 and 6,406.18 is: 8,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.52 : 15,789.43 = 6,406.18 : x
  2. Step 2: Convert to fraction form
    11,441.52/15,789.43 = 6,406.18/x
  3. Step 3: Cross multiply
    11,441.52x = 15,789.43 × 6,406.18
  4. Step 4: Simplify right side
    11,441.52x = 101,149,943.62
  5. Step 5: Solve for x
    x = 101,149,943.62/11,441.52
  6. Step 6: Final answer
    x = 8,840.60

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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.