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Finding the Fourth Proportional to 7,976.40, 11,957.50 and 4,022.52

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Solution

The fourth proportional to 7,976.40, 11,957.50 and 4,022.52 is: 6,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.40 : 11,957.50 = 4,022.52 : x
  2. Step 2: Convert to fraction form
    7,976.40/11,957.50 = 4,022.52/x
  3. Step 3: Cross multiply
    7,976.40x = 11,957.50 × 4,022.52
  4. Step 4: Simplify right side
    7,976.40x = 48,099,282.90
  5. Step 5: Solve for x
    x = 48,099,282.90/7,976.40
  6. Step 6: Final answer
    x = 6,030.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.