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Finding the Fourth Proportional to 8,096.84, 12,139.50 and 6,538.76

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Solution

The fourth proportional to 8,096.84, 12,139.50 and 6,538.76 is: 9,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.84 : 12,139.50 = 6,538.76 : x
  2. Step 2: Convert to fraction form
    8,096.84/12,139.50 = 6,538.76/x
  3. Step 3: Cross multiply
    8,096.84x = 12,139.50 × 6,538.76
  4. Step 4: Simplify right side
    8,096.84x = 79,377,277.02
  5. Step 5: Solve for x
    x = 79,377,277.02/8,096.84
  6. Step 6: Final answer
    x = 9,803.49

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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.