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Finding the Fourth Proportional to 6,702.54, 10,042.44 and 4,100.04

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Solution

The fourth proportional to 6,702.54, 10,042.44 and 4,100.04 is: 6,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.54 : 10,042.44 = 4,100.04 : x
  2. Step 2: Convert to fraction form
    6,702.54/10,042.44 = 4,100.04/x
  3. Step 3: Cross multiply
    6,702.54x = 10,042.44 × 4,100.04
  4. Step 4: Simplify right side
    6,702.54x = 41,174,405.70
  5. Step 5: Solve for x
    x = 41,174,405.70/6,702.54
  6. Step 6: Final answer
    x = 6,143.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.