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Finding the Fourth Proportional to 8,093.40, 12,130.65 and 3,711.30

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Solution

The fourth proportional to 8,093.40, 12,130.65 and 3,711.30 is: 5,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.40 : 12,130.65 = 3,711.30 : x
  2. Step 2: Convert to fraction form
    8,093.40/12,130.65 = 3,711.30/x
  3. Step 3: Cross multiply
    8,093.40x = 12,130.65 × 3,711.30
  4. Step 4: Simplify right side
    8,093.40x = 45,020,481.35
  5. Step 5: Solve for x
    x = 45,020,481.35/8,093.40
  6. Step 6: Final answer
    x = 5,562.62

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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.