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Finding the Fourth Proportional to 11,698.24, 16,143.01 and 6,393.06

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Solution

The fourth proportional to 11,698.24, 16,143.01 and 6,393.06 is: 8,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.24 : 16,143.01 = 6,393.06 : x
  2. Step 2: Convert to fraction form
    11,698.24/16,143.01 = 6,393.06/x
  3. Step 3: Cross multiply
    11,698.24x = 16,143.01 × 6,393.06
  4. Step 4: Simplify right side
    11,698.24x = 103,203,251.49
  5. Step 5: Solve for x
    x = 103,203,251.49/11,698.24
  6. Step 6: Final answer
    x = 8,822.12

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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.