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Finding the Fourth Proportional to 7,801.17, 11,690.79 and 5,198.64

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Solution

The fourth proportional to 7,801.17, 11,690.79 and 5,198.64 is: 7,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.17 : 11,690.79 = 5,198.64 : x
  2. Step 2: Convert to fraction form
    7,801.17/11,690.79 = 5,198.64/x
  3. Step 3: Cross multiply
    7,801.17x = 11,690.79 × 5,198.64
  4. Step 4: Simplify right side
    7,801.17x = 60,776,208.53
  5. Step 5: Solve for x
    x = 60,776,208.53/7,801.17
  6. Step 6: Final answer
    x = 7,790.65

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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.