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Finding the Fourth Proportional to 7,940.52, 11,895.84 and 4,047.48

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Solution

The fourth proportional to 7,940.52, 11,895.84 and 4,047.48 is: 6,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.52 : 11,895.84 = 4,047.48 : x
  2. Step 2: Convert to fraction form
    7,940.52/11,895.84 = 4,047.48/x
  3. Step 3: Cross multiply
    7,940.52x = 11,895.84 × 4,047.48
  4. Step 4: Simplify right side
    7,940.52x = 48,148,174.48
  5. Step 5: Solve for x
    x = 48,148,174.48/7,940.52
  6. Step 6: Final answer
    x = 6,063.60

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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.