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Finding the Fourth Proportional to 8,069.50, 12,098.58 and 3,138.76

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Solution

The fourth proportional to 8,069.50, 12,098.58 and 3,138.76 is: 4,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.50 : 12,098.58 = 3,138.76 : x
  2. Step 2: Convert to fraction form
    8,069.50/12,098.58 = 3,138.76/x
  3. Step 3: Cross multiply
    8,069.50x = 12,098.58 × 3,138.76
  4. Step 4: Simplify right side
    8,069.50x = 37,974,538.96
  5. Step 5: Solve for x
    x = 37,974,538.96/8,069.50
  6. Step 6: Final answer
    x = 4,705.93

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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.