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Finding the Fourth Proportional to 7,976.30, 12,024.16 and 7,441.09

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Solution

The fourth proportional to 7,976.30, 12,024.16 and 7,441.09 is: 11,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.30 : 12,024.16 = 7,441.09 : x
  2. Step 2: Convert to fraction form
    7,976.30/12,024.16 = 7,441.09/x
  3. Step 3: Cross multiply
    7,976.30x = 12,024.16 × 7,441.09
  4. Step 4: Simplify right side
    7,976.30x = 89,472,808.07
  5. Step 5: Solve for x
    x = 89,472,808.07/7,976.30
  6. Step 6: Final answer
    x = 11,217.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.