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Finding the Fourth Proportional to 6,702.26, 10,056.74 and 3,007.13

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Solution

The fourth proportional to 6,702.26, 10,056.74 and 3,007.13 is: 4,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.26 : 10,056.74 = 3,007.13 : x
  2. Step 2: Convert to fraction form
    6,702.26/10,056.74 = 3,007.13/x
  3. Step 3: Cross multiply
    6,702.26x = 10,056.74 × 3,007.13
  4. Step 4: Simplify right side
    6,702.26x = 30,241,859.24
  5. Step 5: Solve for x
    x = 30,241,859.24/6,702.26
  6. Step 6: Final answer
    x = 4,512.19

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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.