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Finding the Fourth Proportional to 6,183.74, 8,534.66 and 4,689.14

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Solution

The fourth proportional to 6,183.74, 8,534.66 and 4,689.14 is: 6,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.74 : 8,534.66 = 4,689.14 : x
  2. Step 2: Convert to fraction form
    6,183.74/8,534.66 = 4,689.14/x
  3. Step 3: Cross multiply
    6,183.74x = 8,534.66 × 4,689.14
  4. Step 4: Simplify right side
    6,183.74x = 40,020,182.53
  5. Step 5: Solve for x
    x = 40,020,182.53/6,183.74
  6. Step 6: Final answer
    x = 6,471.84

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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.