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Finding the Fourth Proportional to 11,012.92, 15,194.14 and 6,232.21

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Solution

The fourth proportional to 11,012.92, 15,194.14 and 6,232.21 is: 8,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.92 : 15,194.14 = 6,232.21 : x
  2. Step 2: Convert to fraction form
    11,012.92/15,194.14 = 6,232.21/x
  3. Step 3: Cross multiply
    11,012.92x = 15,194.14 × 6,232.21
  4. Step 4: Simplify right side
    11,012.92x = 94,693,017.68
  5. Step 5: Solve for x
    x = 94,693,017.68/11,012.92
  6. Step 6: Final answer
    x = 8,598.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.