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Finding the Fourth Proportional to 10,678.54, 14,733.16 and 6,201.43

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Solution

The fourth proportional to 10,678.54, 14,733.16 and 6,201.43 is: 8,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.54 : 14,733.16 = 6,201.43 : x
  2. Step 2: Convert to fraction form
    10,678.54/14,733.16 = 6,201.43/x
  3. Step 3: Cross multiply
    10,678.54x = 14,733.16 × 6,201.43
  4. Step 4: Simplify right side
    10,678.54x = 91,366,615.44
  5. Step 5: Solve for x
    x = 91,366,615.44/10,678.54
  6. Step 6: Final answer
    x = 8,556.10

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