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Finding the Fourth Proportional to 8,592.40, 12,892.98 and 4,094.54

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Solution

The fourth proportional to 8,592.40, 12,892.98 and 4,094.54 is: 6,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.40 : 12,892.98 = 4,094.54 : x
  2. Step 2: Convert to fraction form
    8,592.40/12,892.98 = 4,094.54/x
  3. Step 3: Cross multiply
    8,592.40x = 12,892.98 × 4,094.54
  4. Step 4: Simplify right side
    8,592.40x = 52,790,822.33
  5. Step 5: Solve for x
    x = 52,790,822.33/8,592.40
  6. Step 6: Final answer
    x = 6,143.90

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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.