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Finding the Fourth Proportional to 11,646.87, 17,478.42 and 5,069.67

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Solution

The fourth proportional to 11,646.87, 17,478.42 and 5,069.67 is: 7,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.87 : 17,478.42 = 5,069.67 : x
  2. Step 2: Convert to fraction form
    11,646.87/17,478.42 = 5,069.67/x
  3. Step 3: Cross multiply
    11,646.87x = 17,478.42 × 5,069.67
  4. Step 4: Simplify right side
    11,646.87x = 88,609,821.52
  5. Step 5: Solve for x
    x = 88,609,821.52/11,646.87
  6. Step 6: Final answer
    x = 7,608.04

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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.