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Finding the Fourth Proportional to 8,183.14, 11,292.42 and 4,646.14

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Solution

The fourth proportional to 8,183.14, 11,292.42 and 4,646.14 is: 6,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.14 : 11,292.42 = 4,646.14 : x
  2. Step 2: Convert to fraction form
    8,183.14/11,292.42 = 4,646.14/x
  3. Step 3: Cross multiply
    8,183.14x = 11,292.42 × 4,646.14
  4. Step 4: Simplify right side
    8,183.14x = 52,466,164.26
  5. Step 5: Solve for x
    x = 52,466,164.26/8,183.14
  6. Step 6: Final answer
    x = 6,411.50

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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.