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Finding the Fourth Proportional to 11,216.42, 15,478.93 and 6,180.85

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Solution

The fourth proportional to 11,216.42, 15,478.93 and 6,180.85 is: 8,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.42 : 15,478.93 = 6,180.85 : x
  2. Step 2: Convert to fraction form
    11,216.42/15,478.93 = 6,180.85/x
  3. Step 3: Cross multiply
    11,216.42x = 15,478.93 × 6,180.85
  4. Step 4: Simplify right side
    11,216.42x = 95,672,944.49
  5. Step 5: Solve for x
    x = 95,672,944.49/11,216.42
  6. Step 6: Final answer
    x = 8,529.72

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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.