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Finding the Fourth Proportional to 8,693.82, 11,997.38 and 4,714.90

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Solution

The fourth proportional to 8,693.82, 11,997.38 and 4,714.90 is: 6,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.82 : 11,997.38 = 4,714.90 : x
  2. Step 2: Convert to fraction form
    8,693.82/11,997.38 = 4,714.90/x
  3. Step 3: Cross multiply
    8,693.82x = 11,997.38 × 4,714.90
  4. Step 4: Simplify right side
    8,693.82x = 56,566,428.76
  5. Step 5: Solve for x
    x = 56,566,428.76/8,693.82
  6. Step 6: Final answer
    x = 6,506.51

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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.