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Finding the Fourth Proportional to 10,016.86, 15,025.98 and 3,447.67

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Solution

The fourth proportional to 10,016.86, 15,025.98 and 3,447.67 is: 5,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.86 : 15,025.98 = 3,447.67 : x
  2. Step 2: Convert to fraction form
    10,016.86/15,025.98 = 3,447.67/x
  3. Step 3: Cross multiply
    10,016.86x = 15,025.98 × 3,447.67
  4. Step 4: Simplify right side
    10,016.86x = 51,804,620.47
  5. Step 5: Solve for x
    x = 51,804,620.47/10,016.86
  6. Step 6: Final answer
    x = 5,171.74

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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.