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Finding the Fourth Proportional to 8,490.09, 12,716.70 and 5,193.18

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Solution

The fourth proportional to 8,490.09, 12,716.70 and 5,193.18 is: 7,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.09 : 12,716.70 = 5,193.18 : x
  2. Step 2: Convert to fraction form
    8,490.09/12,716.70 = 5,193.18/x
  3. Step 3: Cross multiply
    8,490.09x = 12,716.70 × 5,193.18
  4. Step 4: Simplify right side
    8,490.09x = 66,040,112.11
  5. Step 5: Solve for x
    x = 66,040,112.11/8,490.09
  6. Step 6: Final answer
    x = 7,778.49

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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.