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Finding the Fourth Proportional to 11,230.29, 15,497.76 and 6,194.58

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Solution

The fourth proportional to 11,230.29, 15,497.76 and 6,194.58 is: 8,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.29 : 15,497.76 = 6,194.58 : x
  2. Step 2: Convert to fraction form
    11,230.29/15,497.76 = 6,194.58/x
  3. Step 3: Cross multiply
    11,230.29x = 15,497.76 × 6,194.58
  4. Step 4: Simplify right side
    11,230.29x = 96,002,114.14
  5. Step 5: Solve for x
    x = 96,002,114.14/11,230.29
  6. Step 6: Final answer
    x = 8,548.50

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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.