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Finding the Fourth Proportional to 10,193.25, 14,065.47 and 5,945.21

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Solution

The fourth proportional to 10,193.25, 14,065.47 and 5,945.21 is: 8,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.25 : 14,065.47 = 5,945.21 : x
  2. Step 2: Convert to fraction form
    10,193.25/14,065.47 = 5,945.21/x
  3. Step 3: Cross multiply
    10,193.25x = 14,065.47 × 5,945.21
  4. Step 4: Simplify right side
    10,193.25x = 83,622,102.57
  5. Step 5: Solve for x
    x = 83,622,102.57/10,193.25
  6. Step 6: Final answer
    x = 8,203.67

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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.