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Finding the Fourth Proportional to 10,183.64, 15,280.62 and 4,636.22

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Solution

The fourth proportional to 10,183.64, 15,280.62 and 4,636.22 is: 6,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.64 : 15,280.62 = 4,636.22 : x
  2. Step 2: Convert to fraction form
    10,183.64/15,280.62 = 4,636.22/x
  3. Step 3: Cross multiply
    10,183.64x = 15,280.62 × 4,636.22
  4. Step 4: Simplify right side
    10,183.64x = 70,844,316.06
  5. Step 5: Solve for x
    x = 70,844,316.06/10,183.64
  6. Step 6: Final answer
    x = 6,956.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.