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Finding the Fourth Proportional to 7,086.24, 9,778.62 and 3,899.94

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Solution

The fourth proportional to 7,086.24, 9,778.62 and 3,899.94 is: 5,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.24 : 9,778.62 = 3,899.94 : x
  2. Step 2: Convert to fraction form
    7,086.24/9,778.62 = 3,899.94/x
  3. Step 3: Cross multiply
    7,086.24x = 9,778.62 × 3,899.94
  4. Step 4: Simplify right side
    7,086.24x = 38,136,031.28
  5. Step 5: Solve for x
    x = 38,136,031.28/7,086.24
  6. Step 6: Final answer
    x = 5,381.70

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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.