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Finding the Fourth Proportional to 8,974.06, 12,382.72 and 4,995.07

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Solution

The fourth proportional to 8,974.06, 12,382.72 and 4,995.07 is: 6,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.06 : 12,382.72 = 4,995.07 : x
  2. Step 2: Convert to fraction form
    8,974.06/12,382.72 = 4,995.07/x
  3. Step 3: Cross multiply
    8,974.06x = 12,382.72 × 4,995.07
  4. Step 4: Simplify right side
    8,974.06x = 61,852,553.19
  5. Step 5: Solve for x
    x = 61,852,553.19/8,974.06
  6. Step 6: Final answer
    x = 6,892.37

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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.