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Finding the Fourth Proportional to 11,698.64, 16,141.52 and 6,982

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Solution

The fourth proportional to 11,698.64, 16,141.52 and 6,982 is: 9,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.64 : 16,141.52 = 6,982 : x
  2. Step 2: Convert to fraction form
    11,698.64/16,141.52 = 6,982/x
  3. Step 3: Cross multiply
    11,698.64x = 16,141.52 × 6,982
  4. Step 4: Simplify right side
    11,698.64x = 112,700,092.64
  5. Step 5: Solve for x
    x = 112,700,092.64/11,698.64
  6. Step 6: Final answer
    x = 9,633.61

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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.