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Finding the Fourth Proportional to 7,239.80, 10,861.88 and 5,135.48

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Solution

The fourth proportional to 7,239.80, 10,861.88 and 5,135.48 is: 7,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.80 : 10,861.88 = 5,135.48 : x
  2. Step 2: Convert to fraction form
    7,239.80/10,861.88 = 5,135.48/x
  3. Step 3: Cross multiply
    7,239.80x = 10,861.88 × 5,135.48
  4. Step 4: Simplify right side
    7,239.80x = 55,780,967.50
  5. Step 5: Solve for x
    x = 55,780,967.50/7,239.80
  6. Step 6: Final answer
    x = 7,704.77

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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.