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Finding the Fourth Proportional to 11,431.46, 15,774.06 and 6,395.96

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Solution

The fourth proportional to 11,431.46, 15,774.06 and 6,395.96 is: 8,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.46 : 15,774.06 = 6,395.96 : x
  2. Step 2: Convert to fraction form
    11,431.46/15,774.06 = 6,395.96/x
  3. Step 3: Cross multiply
    11,431.46x = 15,774.06 × 6,395.96
  4. Step 4: Simplify right side
    11,431.46x = 100,890,256.80
  5. Step 5: Solve for x
    x = 100,890,256.80/11,431.46
  6. Step 6: Final answer
    x = 8,825.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.