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Finding the Fourth Proportional to 10,537.53, 15,806.16 and 3,142.05

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Solution

The fourth proportional to 10,537.53, 15,806.16 and 3,142.05 is: 4,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.53 : 15,806.16 = 3,142.05 : x
  2. Step 2: Convert to fraction form
    10,537.53/15,806.16 = 3,142.05/x
  3. Step 3: Cross multiply
    10,537.53x = 15,806.16 × 3,142.05
  4. Step 4: Simplify right side
    10,537.53x = 49,663,745.03
  5. Step 5: Solve for x
    x = 49,663,745.03/10,537.53
  6. Step 6: Final answer
    x = 4,713.03

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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.