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Finding the Fourth Proportional to 11,466.56, 17,200.76 and 4,892.82

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Solution

The fourth proportional to 11,466.56, 17,200.76 and 4,892.82 is: 7,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.56 : 17,200.76 = 4,892.82 : x
  2. Step 2: Convert to fraction form
    11,466.56/17,200.76 = 4,892.82/x
  3. Step 3: Cross multiply
    11,466.56x = 17,200.76 × 4,892.82
  4. Step 4: Simplify right side
    11,466.56x = 84,160,222.54
  5. Step 5: Solve for x
    x = 84,160,222.54/11,466.56
  6. Step 6: Final answer
    x = 7,339.62

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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.