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Finding the Fourth Proportional to 8,926.14, 13,384.20 and 3,659.70

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Solution

The fourth proportional to 8,926.14, 13,384.20 and 3,659.70 is: 5,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.14 : 13,384.20 = 3,659.70 : x
  2. Step 2: Convert to fraction form
    8,926.14/13,384.20 = 3,659.70/x
  3. Step 3: Cross multiply
    8,926.14x = 13,384.20 × 3,659.70
  4. Step 4: Simplify right side
    8,926.14x = 48,982,156.74
  5. Step 5: Solve for x
    x = 48,982,156.74/8,926.14
  6. Step 6: Final answer
    x = 5,487.50

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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.