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Finding the Fourth Proportional to 11,563.08, 17,321.50 and 5,314.52

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Solution

The fourth proportional to 11,563.08, 17,321.50 and 5,314.52 is: 7,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.08 : 17,321.50 = 5,314.52 : x
  2. Step 2: Convert to fraction form
    11,563.08/17,321.50 = 5,314.52/x
  3. Step 3: Cross multiply
    11,563.08x = 17,321.50 × 5,314.52
  4. Step 4: Simplify right side
    11,563.08x = 92,055,502.59
  5. Step 5: Solve for x
    x = 92,055,502.59/11,563.08
  6. Step 6: Final answer
    x = 7,961.16

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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.