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Finding the Fourth Proportional to 11,517.18, 15,893.12 and 6,800.54

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Solution

The fourth proportional to 11,517.18, 15,893.12 and 6,800.54 is: 9,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.18 : 15,893.12 = 6,800.54 : x
  2. Step 2: Convert to fraction form
    11,517.18/15,893.12 = 6,800.54/x
  3. Step 3: Cross multiply
    11,517.18x = 15,893.12 × 6,800.54
  4. Step 4: Simplify right side
    11,517.18x = 108,081,798.28
  5. Step 5: Solve for x
    x = 108,081,798.28/11,517.18
  6. Step 6: Final answer
    x = 9,384.40

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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.