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Finding the Fourth Proportional to 10,285.39, 14,193.58 and 5,809

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Solution

The fourth proportional to 10,285.39, 14,193.58 and 5,809 is: 8,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.39 : 14,193.58 = 5,809 : x
  2. Step 2: Convert to fraction form
    10,285.39/14,193.58 = 5,809/x
  3. Step 3: Cross multiply
    10,285.39x = 14,193.58 × 5,809
  4. Step 4: Simplify right side
    10,285.39x = 82,450,506.22
  5. Step 5: Solve for x
    x = 82,450,506.22/10,285.39
  6. Step 6: Final answer
    x = 8,016.27

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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.