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Finding the Fourth Proportional to 10,419.52, 14,379.33 and 5,944.00

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Solution

The fourth proportional to 10,419.52, 14,379.33 and 5,944.00 is: 8,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.52 : 14,379.33 = 5,944.00 : x
  2. Step 2: Convert to fraction form
    10,419.52/14,379.33 = 5,944.00/x
  3. Step 3: Cross multiply
    10,419.52x = 14,379.33 × 5,944.00
  4. Step 4: Simplify right side
    10,419.52x = 85,470,665.62
  5. Step 5: Solve for x
    x = 85,470,665.62/10,419.52
  6. Step 6: Final answer
    x = 8,202.94

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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.