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Finding the Fourth Proportional to 10,671.71, 14,727.15 and 6,197.94

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Solution

The fourth proportional to 10,671.71, 14,727.15 and 6,197.94 is: 8,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.71 : 14,727.15 = 6,197.94 : x
  2. Step 2: Convert to fraction form
    10,671.71/14,727.15 = 6,197.94/x
  3. Step 3: Cross multiply
    10,671.71x = 14,727.15 × 6,197.94
  4. Step 4: Simplify right side
    10,671.71x = 91,277,992.07
  5. Step 5: Solve for x
    x = 91,277,992.07/10,671.71
  6. Step 6: Final answer
    x = 8,553.27

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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.