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Finding the Fourth Proportional to 6,116.99, 8,442.76 and 3,727.74

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Solution

The fourth proportional to 6,116.99, 8,442.76 and 3,727.74 is: 5,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.99 : 8,442.76 = 3,727.74 : x
  2. Step 2: Convert to fraction form
    6,116.99/8,442.76 = 3,727.74/x
  3. Step 3: Cross multiply
    6,116.99x = 8,442.76 × 3,727.74
  4. Step 4: Simplify right side
    6,116.99x = 31,472,414.16
  5. Step 5: Solve for x
    x = 31,472,414.16/6,116.99
  6. Step 6: Final answer
    x = 5,145.08

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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.