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Finding the Fourth Proportional to 8,059.76, 12,094.44 and 4,361.92

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Solution

The fourth proportional to 8,059.76, 12,094.44 and 4,361.92 is: 6,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.76 : 12,094.44 = 4,361.92 : x
  2. Step 2: Convert to fraction form
    8,059.76/12,094.44 = 4,361.92/x
  3. Step 3: Cross multiply
    8,059.76x = 12,094.44 × 4,361.92
  4. Step 4: Simplify right side
    8,059.76x = 52,754,979.72
  5. Step 5: Solve for x
    x = 52,754,979.72/8,059.76
  6. Step 6: Final answer
    x = 6,545.48

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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.