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Finding the Fourth Proportional to 8,714.82, 12,026.61 and 4,937.90

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Solution

The fourth proportional to 8,714.82, 12,026.61 and 4,937.90 is: 6,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.82 : 12,026.61 = 4,937.90 : x
  2. Step 2: Convert to fraction form
    8,714.82/12,026.61 = 4,937.90/x
  3. Step 3: Cross multiply
    8,714.82x = 12,026.61 × 4,937.90
  4. Step 4: Simplify right side
    8,714.82x = 59,386,137.39
  5. Step 5: Solve for x
    x = 59,386,137.39/8,714.82
  6. Step 6: Final answer
    x = 6,814.38

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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.