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Finding the Fourth Proportional to 10,745.61, 16,117.66 and 2,847.95

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Solution

The fourth proportional to 10,745.61, 16,117.66 and 2,847.95 is: 4,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.61 : 16,117.66 = 2,847.95 : x
  2. Step 2: Convert to fraction form
    10,745.61/16,117.66 = 2,847.95/x
  3. Step 3: Cross multiply
    10,745.61x = 16,117.66 × 2,847.95
  4. Step 4: Simplify right side
    10,745.61x = 45,902,353.19
  5. Step 5: Solve for x
    x = 45,902,353.19/10,745.61
  6. Step 6: Final answer
    x = 4,271.73

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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.