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Finding the Fourth Proportional to 8,214.40, 11,338.95 and 6,229.70

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Solution

The fourth proportional to 8,214.40, 11,338.95 and 6,229.70 is: 8,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.40 : 11,338.95 = 6,229.70 : x
  2. Step 2: Convert to fraction form
    8,214.40/11,338.95 = 6,229.70/x
  3. Step 3: Cross multiply
    8,214.40x = 11,338.95 × 6,229.70
  4. Step 4: Simplify right side
    8,214.40x = 70,638,256.82
  5. Step 5: Solve for x
    x = 70,638,256.82/8,214.40
  6. Step 6: Final answer
    x = 8,599.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.