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Finding the Fourth Proportional to 8,102.77, 11,159.47 and 6,983.30

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Solution

The fourth proportional to 8,102.77, 11,159.47 and 6,983.30 is: 9,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.77 : 11,159.47 = 6,983.30 : x
  2. Step 2: Convert to fraction form
    8,102.77/11,159.47 = 6,983.30/x
  3. Step 3: Cross multiply
    8,102.77x = 11,159.47 × 6,983.30
  4. Step 4: Simplify right side
    8,102.77x = 77,929,926.85
  5. Step 5: Solve for x
    x = 77,929,926.85/8,102.77
  6. Step 6: Final answer
    x = 9,617.69

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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.