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Finding the Fourth Proportional to 11,663.40, 17,487.90 and 6,730.60

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Solution

The fourth proportional to 11,663.40, 17,487.90 and 6,730.60 is: 10,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.40 : 17,487.90 = 6,730.60 : x
  2. Step 2: Convert to fraction form
    11,663.40/17,487.90 = 6,730.60/x
  3. Step 3: Cross multiply
    11,663.40x = 17,487.90 × 6,730.60
  4. Step 4: Simplify right side
    11,663.40x = 117,704,059.74
  5. Step 5: Solve for x
    x = 117,704,059.74/11,663.40
  6. Step 6: Final answer
    x = 10,091.75

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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.