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Finding the Fourth Proportional to 11,336.17, 15,643.85 and 6,300.31

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Solution

The fourth proportional to 11,336.17, 15,643.85 and 6,300.31 is: 8,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336.17 : 15,643.85 = 6,300.31 : x
  2. Step 2: Convert to fraction form
    11,336.17/15,643.85 = 6,300.31/x
  3. Step 3: Cross multiply
    11,336.17x = 15,643.85 × 6,300.31
  4. Step 4: Simplify right side
    11,336.17x = 98,561,073.09
  5. Step 5: Solve for x
    x = 98,561,073.09/11,336.17
  6. Step 6: Final answer
    x = 8,694.39

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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.