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Finding the Fourth Proportional to 10,203.93, 14,082.12 and 5,954.67

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Solution

The fourth proportional to 10,203.93, 14,082.12 and 5,954.67 is: 8,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.93 : 14,082.12 = 5,954.67 : x
  2. Step 2: Convert to fraction form
    10,203.93/14,082.12 = 5,954.67/x
  3. Step 3: Cross multiply
    10,203.93x = 14,082.12 × 5,954.67
  4. Step 4: Simplify right side
    10,203.93x = 83,854,377.50
  5. Step 5: Solve for x
    x = 83,854,377.50/10,203.93
  6. Step 6: Final answer
    x = 8,217.85

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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.