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Finding the Fourth Proportional to 11,697.27, 16,137.05 and 6,978.81

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Solution

The fourth proportional to 11,697.27, 16,137.05 and 6,978.81 is: 9,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.27 : 16,137.05 = 6,978.81 : x
  2. Step 2: Convert to fraction form
    11,697.27/16,137.05 = 6,978.81/x
  3. Step 3: Cross multiply
    11,697.27x = 16,137.05 × 6,978.81
  4. Step 4: Simplify right side
    11,697.27x = 112,617,405.91
  5. Step 5: Solve for x
    x = 112,617,405.91/11,697.27
  6. Step 6: Final answer
    x = 9,627.67

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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.