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Finding the Fourth Proportional to 8,070.94, 12,096 and 3,909.96

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Solution

The fourth proportional to 8,070.94, 12,096 and 3,909.96 is: 5,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.94 : 12,096 = 3,909.96 : x
  2. Step 2: Convert to fraction form
    8,070.94/12,096 = 3,909.96/x
  3. Step 3: Cross multiply
    8,070.94x = 12,096 × 3,909.96
  4. Step 4: Simplify right side
    8,070.94x = 47,294,876.16
  5. Step 5: Solve for x
    x = 47,294,876.16/8,070.94
  6. Step 6: Final answer
    x = 5,859.90

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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.