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Finding the Fourth Proportional to 10,420.59, 14,379.89 and 5,944.18

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Solution

The fourth proportional to 10,420.59, 14,379.89 and 5,944.18 is: 8,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.59 : 14,379.89 = 5,944.18 : x
  2. Step 2: Convert to fraction form
    10,420.59/14,379.89 = 5,944.18/x
  3. Step 3: Cross multiply
    10,420.59x = 14,379.89 × 5,944.18
  4. Step 4: Simplify right side
    10,420.59x = 85,476,582.64
  5. Step 5: Solve for x
    x = 85,476,582.64/10,420.59
  6. Step 6: Final answer
    x = 8,202.67

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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.