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Finding the Fourth Proportional to 10,496.14, 15,745.91 and 3,101.34

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Solution

The fourth proportional to 10,496.14, 15,745.91 and 3,101.34 is: 4,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.14 : 15,745.91 = 3,101.34 : x
  2. Step 2: Convert to fraction form
    10,496.14/15,745.91 = 3,101.34/x
  3. Step 3: Cross multiply
    10,496.14x = 15,745.91 × 3,101.34
  4. Step 4: Simplify right side
    10,496.14x = 48,833,420.52
  5. Step 5: Solve for x
    x = 48,833,420.52/10,496.14
  6. Step 6: Final answer
    x = 4,652.51

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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.