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Finding the Fourth Proportional to 11,776.74, 16,251.85 and 6,740.94

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Solution

The fourth proportional to 11,776.74, 16,251.85 and 6,740.94 is: 9,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.74 : 16,251.85 = 6,740.94 : x
  2. Step 2: Convert to fraction form
    11,776.74/16,251.85 = 6,740.94/x
  3. Step 3: Cross multiply
    11,776.74x = 16,251.85 × 6,740.94
  4. Step 4: Simplify right side
    11,776.74x = 109,552,745.74
  5. Step 5: Solve for x
    x = 109,552,745.74/11,776.74
  6. Step 6: Final answer
    x = 9,302.47

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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.