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Finding the Fourth Proportional to 8,496.07, 12,729.72 and 5,202.29

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Solution

The fourth proportional to 8,496.07, 12,729.72 and 5,202.29 is: 7,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.07 : 12,729.72 = 5,202.29 : x
  2. Step 2: Convert to fraction form
    8,496.07/12,729.72 = 5,202.29/x
  3. Step 3: Cross multiply
    8,496.07x = 12,729.72 × 5,202.29
  4. Step 4: Simplify right side
    8,496.07x = 66,223,695.06
  5. Step 5: Solve for x
    x = 66,223,695.06/8,496.07
  6. Step 6: Final answer
    x = 7,794.63

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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.