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Finding the Fourth Proportional to 10,798.74, 16,192.08 and 5,251.86

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Solution

The fourth proportional to 10,798.74, 16,192.08 and 5,251.86 is: 7,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.74 : 16,192.08 = 5,251.86 : x
  2. Step 2: Convert to fraction form
    10,798.74/16,192.08 = 5,251.86/x
  3. Step 3: Cross multiply
    10,798.74x = 16,192.08 × 5,251.86
  4. Step 4: Simplify right side
    10,798.74x = 85,038,537.27
  5. Step 5: Solve for x
    x = 85,038,537.27/10,798.74
  6. Step 6: Final answer
    x = 7,874.86

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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.