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Finding the Fourth Proportional to 11,698.10, 16,143.77 and 6,393.26

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Solution

The fourth proportional to 11,698.10, 16,143.77 and 6,393.26 is: 8,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.10 : 16,143.77 = 6,393.26 : x
  2. Step 2: Convert to fraction form
    11,698.10/16,143.77 = 6,393.26/x
  3. Step 3: Cross multiply
    11,698.10x = 16,143.77 × 6,393.26
  4. Step 4: Simplify right side
    11,698.10x = 103,211,206.31
  5. Step 5: Solve for x
    x = 103,211,206.31/11,698.10
  6. Step 6: Final answer
    x = 8,822.91

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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.