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Finding the Fourth Proportional to 7,176.15, 10,745.06 and 4,212.14

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Solution

The fourth proportional to 7,176.15, 10,745.06 and 4,212.14 is: 6,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.15 : 10,745.06 = 4,212.14 : x
  2. Step 2: Convert to fraction form
    7,176.15/10,745.06 = 4,212.14/x
  3. Step 3: Cross multiply
    7,176.15x = 10,745.06 × 4,212.14
  4. Step 4: Simplify right side
    7,176.15x = 45,259,622.24
  5. Step 5: Solve for x
    x = 45,259,622.24/7,176.15
  6. Step 6: Final answer
    x = 6,306.95

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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.