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Finding the Fourth Proportional to 10,469.25, 15,706.71 and 3,543.75

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Solution

The fourth proportional to 10,469.25, 15,706.71 and 3,543.75 is: 5,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.25 : 15,706.71 = 3,543.75 : x
  2. Step 2: Convert to fraction form
    10,469.25/15,706.71 = 3,543.75/x
  3. Step 3: Cross multiply
    10,469.25x = 15,706.71 × 3,543.75
  4. Step 4: Simplify right side
    10,469.25x = 55,660,653.56
  5. Step 5: Solve for x
    x = 55,660,653.56/10,469.25
  6. Step 6: Final answer
    x = 5,316.58

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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.