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Finding the Fourth Proportional to 11,498.92, 15,868.06 and 6,463.36

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Solution

The fourth proportional to 11,498.92, 15,868.06 and 6,463.36 is: 8,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.92 : 15,868.06 = 6,463.36 : x
  2. Step 2: Convert to fraction form
    11,498.92/15,868.06 = 6,463.36/x
  3. Step 3: Cross multiply
    11,498.92x = 15,868.06 × 6,463.36
  4. Step 4: Simplify right side
    11,498.92x = 102,560,984.28
  5. Step 5: Solve for x
    x = 102,560,984.28/11,498.92
  6. Step 6: Final answer
    x = 8,919.18

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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.