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Finding the Fourth Proportional to 8,490.79, 12,722.35 and 5,196.97

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Solution

The fourth proportional to 8,490.79, 12,722.35 and 5,196.97 is: 7,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.79 : 12,722.35 = 5,196.97 : x
  2. Step 2: Convert to fraction form
    8,490.79/12,722.35 = 5,196.97/x
  3. Step 3: Cross multiply
    8,490.79x = 12,722.35 × 5,196.97
  4. Step 4: Simplify right side
    8,490.79x = 66,117,671.28
  5. Step 5: Solve for x
    x = 66,117,671.28/8,490.79
  6. Step 6: Final answer
    x = 7,786.99

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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.