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Finding the Fourth Proportional to 7,154.57, 10,731.95 and 2,224.10

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Solution

The fourth proportional to 7,154.57, 10,731.95 and 2,224.10 is: 3,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.57 : 10,731.95 = 2,224.10 : x
  2. Step 2: Convert to fraction form
    7,154.57/10,731.95 = 2,224.10/x
  3. Step 3: Cross multiply
    7,154.57x = 10,731.95 × 2,224.10
  4. Step 4: Simplify right side
    7,154.57x = 23,868,918.87
  5. Step 5: Solve for x
    x = 23,868,918.87/7,154.57
  6. Step 6: Final answer
    x = 3,336.18

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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.