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Finding the Fourth Proportional to 8,064.90, 12,098.70 and 3,134.70

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Solution

The fourth proportional to 8,064.90, 12,098.70 and 3,134.70 is: 4,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.90 : 12,098.70 = 3,134.70 : x
  2. Step 2: Convert to fraction form
    8,064.90/12,098.70 = 3,134.70/x
  3. Step 3: Cross multiply
    8,064.90x = 12,098.70 × 3,134.70
  4. Step 4: Simplify right side
    8,064.90x = 37,925,794.89
  5. Step 5: Solve for x
    x = 37,925,794.89/8,064.90
  6. Step 6: Final answer
    x = 4,702.57

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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.