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Finding the Fourth Proportional to 11,588.40, 17,382.44 and 2,823.32

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Solution

The fourth proportional to 11,588.40, 17,382.44 and 2,823.32 is: 4,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.40 : 17,382.44 = 2,823.32 : x
  2. Step 2: Convert to fraction form
    11,588.40/17,382.44 = 2,823.32/x
  3. Step 3: Cross multiply
    11,588.40x = 17,382.44 × 2,823.32
  4. Step 4: Simplify right side
    11,588.40x = 49,076,190.50
  5. Step 5: Solve for x
    x = 49,076,190.50/11,588.40
  6. Step 6: Final answer
    x = 4,234.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.