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Finding the Fourth Proportional to 8,064.10, 12,092.04 and 3,904.30

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Solution

The fourth proportional to 8,064.10, 12,092.04 and 3,904.30 is: 5,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.10 : 12,092.04 = 3,904.30 : x
  2. Step 2: Convert to fraction form
    8,064.10/12,092.04 = 3,904.30/x
  3. Step 3: Cross multiply
    8,064.10x = 12,092.04 × 3,904.30
  4. Step 4: Simplify right side
    8,064.10x = 47,210,951.77
  5. Step 5: Solve for x
    x = 47,210,951.77/8,064.10
  6. Step 6: Final answer
    x = 5,854.46

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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.