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Finding the Fourth Proportional to 11,563.74, 17,345.88 and 5,328.98

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Solution

The fourth proportional to 11,563.74, 17,345.88 and 5,328.98 is: 7,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.74 : 17,345.88 = 5,328.98 : x
  2. Step 2: Convert to fraction form
    11,563.74/17,345.88 = 5,328.98/x
  3. Step 3: Cross multiply
    11,563.74x = 17,345.88 × 5,328.98
  4. Step 4: Simplify right side
    11,563.74x = 92,435,760.87
  5. Step 5: Solve for x
    x = 92,435,760.87/11,563.74
  6. Step 6: Final answer
    x = 7,993.59

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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.