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Finding the Fourth Proportional to 6,872.26, 10,293.80 and 4,652.46

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Solution

The fourth proportional to 6,872.26, 10,293.80 and 4,652.46 is: 6,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.26 : 10,293.80 = 4,652.46 : x
  2. Step 2: Convert to fraction form
    6,872.26/10,293.80 = 4,652.46/x
  3. Step 3: Cross multiply
    6,872.26x = 10,293.80 × 4,652.46
  4. Step 4: Simplify right side
    6,872.26x = 47,891,492.75
  5. Step 5: Solve for x
    x = 47,891,492.75/6,872.26
  6. Step 6: Final answer
    x = 6,968.81

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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.