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Finding the Fourth Proportional to 10,459.72, 14,435.94 and 5,923

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Solution

The fourth proportional to 10,459.72, 14,435.94 and 5,923 is: 8,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.72 : 14,435.94 = 5,923 : x
  2. Step 2: Convert to fraction form
    10,459.72/14,435.94 = 5,923/x
  3. Step 3: Cross multiply
    10,459.72x = 14,435.94 × 5,923
  4. Step 4: Simplify right side
    10,459.72x = 85,504,072.62
  5. Step 5: Solve for x
    x = 85,504,072.62/10,459.72
  6. Step 6: Final answer
    x = 8,174.60

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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.