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Finding the Fourth Proportional to 8,011.74, 12,017.58 and 2,168.34

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Solution

The fourth proportional to 8,011.74, 12,017.58 and 2,168.34 is: 3,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.74 : 12,017.58 = 2,168.34 : x
  2. Step 2: Convert to fraction form
    8,011.74/12,017.58 = 2,168.34/x
  3. Step 3: Cross multiply
    8,011.74x = 12,017.58 × 2,168.34
  4. Step 4: Simplify right side
    8,011.74x = 26,058,199.42
  5. Step 5: Solve for x
    x = 26,058,199.42/8,011.74
  6. Step 6: Final answer
    x = 3,252.50

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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.