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Finding the Fourth Proportional to 10,717.77, 16,076.35 and 3,697.65

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Solution

The fourth proportional to 10,717.77, 16,076.35 and 3,697.65 is: 5,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.77 : 16,076.35 = 3,697.65 : x
  2. Step 2: Convert to fraction form
    10,717.77/16,076.35 = 3,697.65/x
  3. Step 3: Cross multiply
    10,717.77x = 16,076.35 × 3,697.65
  4. Step 4: Simplify right side
    10,717.77x = 59,444,715.58
  5. Step 5: Solve for x
    x = 59,444,715.58/10,717.77
  6. Step 6: Final answer
    x = 5,546.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.