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Finding the Fourth Proportional to 7,134.90, 10,702.15 and 3,239.30

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Solution

The fourth proportional to 7,134.90, 10,702.15 and 3,239.30 is: 4,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.90 : 10,702.15 = 3,239.30 : x
  2. Step 2: Convert to fraction form
    7,134.90/10,702.15 = 3,239.30/x
  3. Step 3: Cross multiply
    7,134.90x = 10,702.15 × 3,239.30
  4. Step 4: Simplify right side
    7,134.90x = 34,667,474.50
  5. Step 5: Solve for x
    x = 34,667,474.50/7,134.90
  6. Step 6: Final answer
    x = 4,858.86

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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.