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Finding the Fourth Proportional to 6,709.88, 10,060.23 and 3,416.60

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Solution

The fourth proportional to 6,709.88, 10,060.23 and 3,416.60 is: 5,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.88 : 10,060.23 = 3,416.60 : x
  2. Step 2: Convert to fraction form
    6,709.88/10,060.23 = 3,416.60/x
  3. Step 3: Cross multiply
    6,709.88x = 10,060.23 × 3,416.60
  4. Step 4: Simplify right side
    6,709.88x = 34,371,781.82
  5. Step 5: Solve for x
    x = 34,371,781.82/6,709.88
  6. Step 6: Final answer
    x = 5,122.56

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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.