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Finding the Fourth Proportional to 10,082.67, 15,114.15 and 4,537.41

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Solution

The fourth proportional to 10,082.67, 15,114.15 and 4,537.41 is: 6,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.67 : 15,114.15 = 4,537.41 : x
  2. Step 2: Convert to fraction form
    10,082.67/15,114.15 = 4,537.41/x
  3. Step 3: Cross multiply
    10,082.67x = 15,114.15 × 4,537.41
  4. Step 4: Simplify right side
    10,082.67x = 68,579,095.35
  5. Step 5: Solve for x
    x = 68,579,095.35/10,082.67
  6. Step 6: Final answer
    x = 6,801.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.