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Finding the Fourth Proportional to 11,342.97, 17,014.39 and 4,417.47

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Solution

The fourth proportional to 11,342.97, 17,014.39 and 4,417.47 is: 6,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.97 : 17,014.39 = 4,417.47 : x
  2. Step 2: Convert to fraction form
    11,342.97/17,014.39 = 4,417.47/x
  3. Step 3: Cross multiply
    11,342.97x = 17,014.39 × 4,417.47
  4. Step 4: Simplify right side
    11,342.97x = 75,160,546.35
  5. Step 5: Solve for x
    x = 75,160,546.35/11,342.97
  6. Step 6: Final answer
    x = 6,626.18

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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.