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Finding the Fourth Proportional to 11,659.63, 16,094.96 and 6,943

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Solution

The fourth proportional to 11,659.63, 16,094.96 and 6,943 is: 9,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.63 : 16,094.96 = 6,943 : x
  2. Step 2: Convert to fraction form
    11,659.63/16,094.96 = 6,943/x
  3. Step 3: Cross multiply
    11,659.63x = 16,094.96 × 6,943
  4. Step 4: Simplify right side
    11,659.63x = 111,747,307.28
  5. Step 5: Solve for x
    x = 111,747,307.28/11,659.63
  6. Step 6: Final answer
    x = 9,584.12

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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.