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Finding the Fourth Proportional to 7,072.50, 10,611.09 and 3,784.86

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Solution

The fourth proportional to 7,072.50, 10,611.09 and 3,784.86 is: 5,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.50 : 10,611.09 = 3,784.86 : x
  2. Step 2: Convert to fraction form
    7,072.50/10,611.09 = 3,784.86/x
  3. Step 3: Cross multiply
    7,072.50x = 10,611.09 × 3,784.86
  4. Step 4: Simplify right side
    7,072.50x = 40,161,490.10
  5. Step 5: Solve for x
    x = 40,161,490.10/7,072.50
  6. Step 6: Final answer
    x = 5,678.54

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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.