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Finding the Fourth Proportional to 6,791.30, 10,165.64 and 4,670.55

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Solution

The fourth proportional to 6,791.30, 10,165.64 and 4,670.55 is: 6,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.30 : 10,165.64 = 4,670.55 : x
  2. Step 2: Convert to fraction form
    6,791.30/10,165.64 = 4,670.55/x
  3. Step 3: Cross multiply
    6,791.30x = 10,165.64 × 4,670.55
  4. Step 4: Simplify right side
    6,791.30x = 47,479,129.90
  5. Step 5: Solve for x
    x = 47,479,129.90/6,791.30
  6. Step 6: Final answer
    x = 6,991.17

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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.