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Finding the Fourth Proportional to 11,600.72, 17,390.70 and 5,674.25

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Solution

The fourth proportional to 11,600.72, 17,390.70 and 5,674.25 is: 8,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.72 : 17,390.70 = 5,674.25 : x
  2. Step 2: Convert to fraction form
    11,600.72/17,390.70 = 5,674.25/x
  3. Step 3: Cross multiply
    11,600.72x = 17,390.70 × 5,674.25
  4. Step 4: Simplify right side
    11,600.72x = 98,679,222.95
  5. Step 5: Solve for x
    x = 98,679,222.95/11,600.72
  6. Step 6: Final answer
    x = 8,506.30

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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.