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Finding the Fourth Proportional to 7,981.50, 11,014.49 and 4,624.97

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Solution

The fourth proportional to 7,981.50, 11,014.49 and 4,624.97 is: 6,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.50 : 11,014.49 = 4,624.97 : x
  2. Step 2: Convert to fraction form
    7,981.50/11,014.49 = 4,624.97/x
  3. Step 3: Cross multiply
    7,981.50x = 11,014.49 × 4,624.97
  4. Step 4: Simplify right side
    7,981.50x = 50,941,629.30
  5. Step 5: Solve for x
    x = 50,941,629.30/7,981.50
  6. Step 6: Final answer
    x = 6,382.46

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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.