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Finding the Fourth Proportional to 11,730.18, 17,607.42 and 7,861.62

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Solution

The fourth proportional to 11,730.18, 17,607.42 and 7,861.62 is: 11,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.18 : 17,607.42 = 7,861.62 : x
  2. Step 2: Convert to fraction form
    11,730.18/17,607.42 = 7,861.62/x
  3. Step 3: Cross multiply
    11,730.18x = 17,607.42 × 7,861.62
  4. Step 4: Simplify right side
    11,730.18x = 138,422,845.22
  5. Step 5: Solve for x
    x = 138,422,845.22/11,730.18
  6. Step 6: Final answer
    x = 11,800.57

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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.