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Finding the Fourth Proportional to 10,949.64, 15,111 and 6,234.92

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Solution

The fourth proportional to 10,949.64, 15,111 and 6,234.92 is: 8,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.64 : 15,111 = 6,234.92 : x
  2. Step 2: Convert to fraction form
    10,949.64/15,111 = 6,234.92/x
  3. Step 3: Cross multiply
    10,949.64x = 15,111 × 6,234.92
  4. Step 4: Simplify right side
    10,949.64x = 94,215,876.12
  5. Step 5: Solve for x
    x = 94,215,876.12/10,949.64
  6. Step 6: Final answer
    x = 8,604.47

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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.