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Finding the Fourth Proportional to 11,710.42, 17,544.36 and 6,769.62

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Solution

The fourth proportional to 11,710.42, 17,544.36 and 6,769.62 is: 10,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.42 : 17,544.36 = 6,769.62 : x
  2. Step 2: Convert to fraction form
    11,710.42/17,544.36 = 6,769.62/x
  3. Step 3: Cross multiply
    11,710.42x = 17,544.36 × 6,769.62
  4. Step 4: Simplify right side
    11,710.42x = 118,768,650.34
  5. Step 5: Solve for x
    x = 118,768,650.34/11,710.42
  6. Step 6: Final answer
    x = 10,142.14

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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.