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Finding the Fourth Proportional to 8,714.14, 12,024.54 and 4,936.50

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Solution

The fourth proportional to 8,714.14, 12,024.54 and 4,936.50 is: 6,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.14 : 12,024.54 = 4,936.50 : x
  2. Step 2: Convert to fraction form
    8,714.14/12,024.54 = 4,936.50/x
  3. Step 3: Cross multiply
    8,714.14x = 12,024.54 × 4,936.50
  4. Step 4: Simplify right side
    8,714.14x = 59,359,099.31
  5. Step 5: Solve for x
    x = 59,359,099.31/8,714.14
  6. Step 6: Final answer
    x = 6,811.81

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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.