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Finding the Fourth Proportional to 11,963.25, 17,946.69 and 6,117.88

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Solution

The fourth proportional to 11,963.25, 17,946.69 and 6,117.88 is: 9,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.25 : 17,946.69 = 6,117.88 : x
  2. Step 2: Convert to fraction form
    11,963.25/17,946.69 = 6,117.88/x
  3. Step 3: Cross multiply
    11,963.25x = 17,946.69 × 6,117.88
  4. Step 4: Simplify right side
    11,963.25x = 109,795,695.82
  5. Step 5: Solve for x
    x = 109,795,695.82/11,963.25
  6. Step 6: Final answer
    x = 9,177.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.