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Finding the Fourth Proportional to 7,731.86, 10,670.04 and 4,195.10

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Solution

The fourth proportional to 7,731.86, 10,670.04 and 4,195.10 is: 5,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.86 : 10,670.04 = 4,195.10 : x
  2. Step 2: Convert to fraction form
    7,731.86/10,670.04 = 4,195.10/x
  3. Step 3: Cross multiply
    7,731.86x = 10,670.04 × 4,195.10
  4. Step 4: Simplify right side
    7,731.86x = 44,761,884.80
  5. Step 5: Solve for x
    x = 44,761,884.80/7,731.86
  6. Step 6: Final answer
    x = 5,789.28

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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.