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Finding the Fourth Proportional to 10,678.72, 16,010.16 and 8,043.52

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Solution

The fourth proportional to 10,678.72, 16,010.16 and 8,043.52 is: 12,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.72 : 16,010.16 = 8,043.52 : x
  2. Step 2: Convert to fraction form
    10,678.72/16,010.16 = 8,043.52/x
  3. Step 3: Cross multiply
    10,678.72x = 16,010.16 × 8,043.52
  4. Step 4: Simplify right side
    10,678.72x = 128,778,042.16
  5. Step 5: Solve for x
    x = 128,778,042.16/10,678.72
  6. Step 6: Final answer
    x = 12,059.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.