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Finding the Fourth Proportional to 11,230.17, 15,496.92 and 6,194.12

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Solution

The fourth proportional to 11,230.17, 15,496.92 and 6,194.12 is: 8,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.17 : 15,496.92 = 6,194.12 : x
  2. Step 2: Convert to fraction form
    11,230.17/15,496.92 = 6,194.12/x
  3. Step 3: Cross multiply
    11,230.17x = 15,496.92 × 6,194.12
  4. Step 4: Simplify right side
    11,230.17x = 95,989,704.63
  5. Step 5: Solve for x
    x = 95,989,704.63/11,230.17
  6. Step 6: Final answer
    x = 8,547.48

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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.