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Finding the Fourth Proportional to 11,600.92, 17,386.47 and 5,271.17

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Solution

The fourth proportional to 11,600.92, 17,386.47 and 5,271.17 is: 7,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.92 : 17,386.47 = 5,271.17 : x
  2. Step 2: Convert to fraction form
    11,600.92/17,386.47 = 5,271.17/x
  3. Step 3: Cross multiply
    11,600.92x = 17,386.47 × 5,271.17
  4. Step 4: Simplify right side
    11,600.92x = 91,647,039.07
  5. Step 5: Solve for x
    x = 91,647,039.07/11,600.92
  6. Step 6: Final answer
    x = 7,899.98

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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.