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Finding the Fourth Proportional to 10,725.41, 14,807.97 and 8,740.71

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Solution

The fourth proportional to 10,725.41, 14,807.97 and 8,740.71 is: 12,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.41 : 14,807.97 = 8,740.71 : x
  2. Step 2: Convert to fraction form
    10,725.41/14,807.97 = 8,740.71/x
  3. Step 3: Cross multiply
    10,725.41x = 14,807.97 × 8,740.71
  4. Step 4: Simplify right side
    10,725.41x = 129,432,171.46
  5. Step 5: Solve for x
    x = 129,432,171.46/10,725.41
  6. Step 6: Final answer
    x = 12,067.81

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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.