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Finding the Fourth Proportional to 11,591.48, 17,386.13 and 4,195.64

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Solution

The fourth proportional to 11,591.48, 17,386.13 and 4,195.64 is: 6,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.48 : 17,386.13 = 4,195.64 : x
  2. Step 2: Convert to fraction form
    11,591.48/17,386.13 = 4,195.64/x
  3. Step 3: Cross multiply
    11,591.48x = 17,386.13 × 4,195.64
  4. Step 4: Simplify right side
    11,591.48x = 72,945,866.03
  5. Step 5: Solve for x
    x = 72,945,866.03/11,591.48
  6. Step 6: Final answer
    x = 6,293.06

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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.