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Finding the Fourth Proportional to 11,698.36, 16,143.10 and 6,393.12

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Solution

The fourth proportional to 11,698.36, 16,143.10 and 6,393.12 is: 8,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.36 : 16,143.10 = 6,393.12 : x
  2. Step 2: Convert to fraction form
    11,698.36/16,143.10 = 6,393.12/x
  3. Step 3: Cross multiply
    11,698.36x = 16,143.10 × 6,393.12
  4. Step 4: Simplify right side
    11,698.36x = 103,204,775.47
  5. Step 5: Solve for x
    x = 103,204,775.47/11,698.36
  6. Step 6: Final answer
    x = 8,822.16

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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.