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Finding the Fourth Proportional to 8,714.98, 13,074.50 and 2,871.64

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Solution

The fourth proportional to 8,714.98, 13,074.50 and 2,871.64 is: 4,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.98 : 13,074.50 = 2,871.64 : x
  2. Step 2: Convert to fraction form
    8,714.98/13,074.50 = 2,871.64/x
  3. Step 3: Cross multiply
    8,714.98x = 13,074.50 × 2,871.64
  4. Step 4: Simplify right side
    8,714.98x = 37,545,257.18
  5. Step 5: Solve for x
    x = 37,545,257.18/8,714.98
  6. Step 6: Final answer
    x = 4,308.13

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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.