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Finding the Fourth Proportional to 8,089.84, 12,134.76 and 2,543.67

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Solution

The fourth proportional to 8,089.84, 12,134.76 and 2,543.67 is: 3,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.84 : 12,134.76 = 2,543.67 : x
  2. Step 2: Convert to fraction form
    8,089.84/12,134.76 = 2,543.67/x
  3. Step 3: Cross multiply
    8,089.84x = 12,134.76 × 2,543.67
  4. Step 4: Simplify right side
    8,089.84x = 30,866,751.58
  5. Step 5: Solve for x
    x = 30,866,751.58/8,089.84
  6. Step 6: Final answer
    x = 3,815.50

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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.