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Finding the Fourth Proportional to 8,274.57, 12,414.29 and 3,341.67

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Solution

The fourth proportional to 8,274.57, 12,414.29 and 3,341.67 is: 5,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.57 : 12,414.29 = 3,341.67 : x
  2. Step 2: Convert to fraction form
    8,274.57/12,414.29 = 3,341.67/x
  3. Step 3: Cross multiply
    8,274.57x = 12,414.29 × 3,341.67
  4. Step 4: Simplify right side
    8,274.57x = 41,484,443.76
  5. Step 5: Solve for x
    x = 41,484,443.76/8,274.57
  6. Step 6: Final answer
    x = 5,013.49

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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.