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Finding the Fourth Proportional to 10,798.56, 16,187.31 and 5,251.68

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Solution

The fourth proportional to 10,798.56, 16,187.31 and 5,251.68 is: 7,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.56 : 16,187.31 = 5,251.68 : x
  2. Step 2: Convert to fraction form
    10,798.56/16,187.31 = 5,251.68/x
  3. Step 3: Cross multiply
    10,798.56x = 16,187.31 × 5,251.68
  4. Step 4: Simplify right side
    10,798.56x = 85,010,572.18
  5. Step 5: Solve for x
    x = 85,010,572.18/10,798.56
  6. Step 6: Final answer
    x = 7,872.40

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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.