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Finding the Fourth Proportional to 6,709.38, 10,059.48 and 3,416.10

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Solution

The fourth proportional to 6,709.38, 10,059.48 and 3,416.10 is: 5,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.38 : 10,059.48 = 3,416.10 : x
  2. Step 2: Convert to fraction form
    6,709.38/10,059.48 = 3,416.10/x
  3. Step 3: Cross multiply
    6,709.38x = 10,059.48 × 3,416.10
  4. Step 4: Simplify right side
    6,709.38x = 34,364,189.63
  5. Step 5: Solve for x
    x = 34,364,189.63/6,709.38
  6. Step 6: Final answer
    x = 5,121.81

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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.