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Finding the Fourth Proportional to 8,714.52, 12,026 and 4,735.56

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Solution

The fourth proportional to 8,714.52, 12,026 and 4,735.56 is: 6,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.52 : 12,026 = 4,735.56 : x
  2. Step 2: Convert to fraction form
    8,714.52/12,026 = 4,735.56/x
  3. Step 3: Cross multiply
    8,714.52x = 12,026 × 4,735.56
  4. Step 4: Simplify right side
    8,714.52x = 56,949,844.56
  5. Step 5: Solve for x
    x = 56,949,844.56/8,714.52
  6. Step 6: Final answer
    x = 6,535.05

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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.