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Finding the Fourth Proportional to 7,558.50, 10,431.38 and 4,247.14

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Solution

The fourth proportional to 7,558.50, 10,431.38 and 4,247.14 is: 5,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.50 : 10,431.38 = 4,247.14 : x
  2. Step 2: Convert to fraction form
    7,558.50/10,431.38 = 4,247.14/x
  3. Step 3: Cross multiply
    7,558.50x = 10,431.38 × 4,247.14
  4. Step 4: Simplify right side
    7,558.50x = 44,303,531.25
  5. Step 5: Solve for x
    x = 44,303,531.25/7,558.50
  6. Step 6: Final answer
    x = 5,861.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.