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Finding the Fourth Proportional to 7,951.90, 11,927.92 and 3,022.95

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Solution

The fourth proportional to 7,951.90, 11,927.92 and 3,022.95 is: 4,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.90 : 11,927.92 = 3,022.95 : x
  2. Step 2: Convert to fraction form
    7,951.90/11,927.92 = 3,022.95/x
  3. Step 3: Cross multiply
    7,951.90x = 11,927.92 × 3,022.95
  4. Step 4: Simplify right side
    7,951.90x = 36,057,505.76
  5. Step 5: Solve for x
    x = 36,057,505.76/7,951.90
  6. Step 6: Final answer
    x = 4,534.45

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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.