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Finding the Fourth Proportional to 11,776.46, 16,253.07 and 7,596.86

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Solution

The fourth proportional to 11,776.46, 16,253.07 and 7,596.86 is: 10,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.46 : 16,253.07 = 7,596.86 : x
  2. Step 2: Convert to fraction form
    11,776.46/16,253.07 = 7,596.86/x
  3. Step 3: Cross multiply
    11,776.46x = 16,253.07 × 7,596.86
  4. Step 4: Simplify right side
    11,776.46x = 123,472,297.36
  5. Step 5: Solve for x
    x = 123,472,297.36/11,776.46
  6. Step 6: Final answer
    x = 10,484.67

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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.