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Finding the Fourth Proportional to 11,342.40, 17,009.55 and 3,947.10

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Solution

The fourth proportional to 11,342.40, 17,009.55 and 3,947.10 is: 5,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.40 : 17,009.55 = 3,947.10 : x
  2. Step 2: Convert to fraction form
    11,342.40/17,009.55 = 3,947.10/x
  3. Step 3: Cross multiply
    11,342.40x = 17,009.55 × 3,947.10
  4. Step 4: Simplify right side
    11,342.40x = 67,138,394.81
  5. Step 5: Solve for x
    x = 67,138,394.81/11,342.40
  6. Step 6: Final answer
    x = 5,919.24

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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.