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Finding the Fourth Proportional to 8,541.96, 12,811.02 and 3,069.96

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Solution

The fourth proportional to 8,541.96, 12,811.02 and 3,069.96 is: 4,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.96 : 12,811.02 = 3,069.96 : x
  2. Step 2: Convert to fraction form
    8,541.96/12,811.02 = 3,069.96/x
  3. Step 3: Cross multiply
    8,541.96x = 12,811.02 × 3,069.96
  4. Step 4: Simplify right side
    8,541.96x = 39,329,318.96
  5. Step 5: Solve for x
    x = 39,329,318.96/8,541.96
  6. Step 6: Final answer
    x = 4,604.25

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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.