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Finding the Fourth Proportional to 10,736.15, 14,813.07 and 6,197.72

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Solution

The fourth proportional to 10,736.15, 14,813.07 and 6,197.72 is: 8,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.15 : 14,813.07 = 6,197.72 : x
  2. Step 2: Convert to fraction form
    10,736.15/14,813.07 = 6,197.72/x
  3. Step 3: Cross multiply
    10,736.15x = 14,813.07 × 6,197.72
  4. Step 4: Simplify right side
    10,736.15x = 91,807,260.20
  5. Step 5: Solve for x
    x = 91,807,260.20/10,736.15
  6. Step 6: Final answer
    x = 8,551.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.