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Finding the Fourth Proportional to 8,156.35, 12,234.99 and 2,312.50

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Solution

The fourth proportional to 8,156.35, 12,234.99 and 2,312.50 is: 3,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.35 : 12,234.99 = 2,312.50 : x
  2. Step 2: Convert to fraction form
    8,156.35/12,234.99 = 2,312.50/x
  3. Step 3: Cross multiply
    8,156.35x = 12,234.99 × 2,312.50
  4. Step 4: Simplify right side
    8,156.35x = 28,293,414.38
  5. Step 5: Solve for x
    x = 28,293,414.38/8,156.35
  6. Step 6: Final answer
    x = 3,468.88

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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.