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Finding the Fourth Proportional to 11,776.69, 16,251.23 and 6,740.52

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Solution

The fourth proportional to 11,776.69, 16,251.23 and 6,740.52 is: 9,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.69 : 16,251.23 = 6,740.52 : x
  2. Step 2: Convert to fraction form
    11,776.69/16,251.23 = 6,740.52/x
  3. Step 3: Cross multiply
    11,776.69x = 16,251.23 × 6,740.52
  4. Step 4: Simplify right side
    11,776.69x = 109,541,696.75
  5. Step 5: Solve for x
    x = 109,541,696.75/11,776.69
  6. Step 6: Final answer
    x = 9,301.57

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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.