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Finding the Fourth Proportional to 7,224.66, 10,834.74 and 2,295.54

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Solution

The fourth proportional to 7,224.66, 10,834.74 and 2,295.54 is: 3,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.66 : 10,834.74 = 2,295.54 : x
  2. Step 2: Convert to fraction form
    7,224.66/10,834.74 = 2,295.54/x
  3. Step 3: Cross multiply
    7,224.66x = 10,834.74 × 2,295.54
  4. Step 4: Simplify right side
    7,224.66x = 24,871,579.06
  5. Step 5: Solve for x
    x = 24,871,579.06/7,224.66
  6. Step 6: Final answer
    x = 3,442.60

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Why These Related Problems?

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