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Finding the Fourth Proportional to 11,600.42, 17,385.72 and 5,270.67

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Solution

The fourth proportional to 11,600.42, 17,385.72 and 5,270.67 is: 7,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.42 : 17,385.72 = 5,270.67 : x
  2. Step 2: Convert to fraction form
    11,600.42/17,385.72 = 5,270.67/x
  3. Step 3: Cross multiply
    11,600.42x = 17,385.72 × 5,270.67
  4. Step 4: Simplify right side
    11,600.42x = 91,634,392.83
  5. Step 5: Solve for x
    x = 91,634,392.83/11,600.42
  6. Step 6: Final answer
    x = 7,899.23

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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.