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Finding the Fourth Proportional to 10,732.69, 14,811.23 and 5,952.73

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Solution

The fourth proportional to 10,732.69, 14,811.23 and 5,952.73 is: 8,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.69 : 14,811.23 = 5,952.73 : x
  2. Step 2: Convert to fraction form
    10,732.69/14,811.23 = 5,952.73/x
  3. Step 3: Cross multiply
    10,732.69x = 14,811.23 × 5,952.73
  4. Step 4: Simplify right side
    10,732.69x = 88,167,253.16
  5. Step 5: Solve for x
    x = 88,167,253.16/10,732.69
  6. Step 6: Final answer
    x = 8,214.83

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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.