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Finding the Fourth Proportional to 11,400.36, 15,718.50 and 8,255.40

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Solution

The fourth proportional to 11,400.36, 15,718.50 and 8,255.40 is: 11,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.36 : 15,718.50 = 8,255.40 : x
  2. Step 2: Convert to fraction form
    11,400.36/15,718.50 = 8,255.40/x
  3. Step 3: Cross multiply
    11,400.36x = 15,718.50 × 8,255.40
  4. Step 4: Simplify right side
    11,400.36x = 129,762,504.90
  5. Step 5: Solve for x
    x = 129,762,504.90/11,400.36
  6. Step 6: Final answer
    x = 11,382.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.