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Finding the Fourth Proportional to 11,573.14, 17,345.78 and 5,324.54

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Solution

The fourth proportional to 11,573.14, 17,345.78 and 5,324.54 is: 7,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.14 : 17,345.78 = 5,324.54 : x
  2. Step 2: Convert to fraction form
    11,573.14/17,345.78 = 5,324.54/x
  3. Step 3: Cross multiply
    11,573.14x = 17,345.78 × 5,324.54
  4. Step 4: Simplify right side
    11,573.14x = 92,358,299.44
  5. Step 5: Solve for x
    x = 92,358,299.44/11,573.14
  6. Step 6: Final answer
    x = 7,980.40

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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.