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Finding the Fourth Proportional to 11,375.46, 17,064 and 6,702.30

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Solution

The fourth proportional to 11,375.46, 17,064 and 6,702.30 is: 10,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.46 : 17,064 = 6,702.30 : x
  2. Step 2: Convert to fraction form
    11,375.46/17,064 = 6,702.30/x
  3. Step 3: Cross multiply
    11,375.46x = 17,064 × 6,702.30
  4. Step 4: Simplify right side
    11,375.46x = 114,368,047.20
  5. Step 5: Solve for x
    x = 114,368,047.20/11,375.46
  6. Step 6: Final answer
    x = 10,053.93

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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.