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Finding the Fourth Proportional to 7,731.98, 10,670.16 and 4,195.22

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Solution

The fourth proportional to 7,731.98, 10,670.16 and 4,195.22 is: 5,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.98 : 10,670.16 = 4,195.22 : x
  2. Step 2: Convert to fraction form
    7,731.98/10,670.16 = 4,195.22/x
  3. Step 3: Cross multiply
    7,731.98x = 10,670.16 × 4,195.22
  4. Step 4: Simplify right side
    7,731.98x = 44,763,668.64
  5. Step 5: Solve for x
    x = 44,763,668.64/7,731.98
  6. Step 6: Final answer
    x = 5,789.42

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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.