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Finding the Fourth Proportional to 11,444.31, 17,163.23 and 4,046.58

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Solution

The fourth proportional to 11,444.31, 17,163.23 and 4,046.58 is: 6,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.31 : 17,163.23 = 4,046.58 : x
  2. Step 2: Convert to fraction form
    11,444.31/17,163.23 = 4,046.58/x
  3. Step 3: Cross multiply
    11,444.31x = 17,163.23 × 4,046.58
  4. Step 4: Simplify right side
    11,444.31x = 69,452,363.02
  5. Step 5: Solve for x
    x = 69,452,363.02/11,444.31
  6. Step 6: Final answer
    x = 6,068.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.