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Finding the Fourth Proportional to 8,498.21, 12,746.94 and 4,338.11

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Solution

The fourth proportional to 8,498.21, 12,746.94 and 4,338.11 is: 6,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.21 : 12,746.94 = 4,338.11 : x
  2. Step 2: Convert to fraction form
    8,498.21/12,746.94 = 4,338.11/x
  3. Step 3: Cross multiply
    8,498.21x = 12,746.94 × 4,338.11
  4. Step 4: Simplify right side
    8,498.21x = 55,297,627.88
  5. Step 5: Solve for x
    x = 55,297,627.88/8,498.21
  6. Step 6: Final answer
    x = 6,506.97

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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.