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Finding the Fourth Proportional to 10,447.32, 15,672.48 and 3,050.82

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Solution

The fourth proportional to 10,447.32, 15,672.48 and 3,050.82 is: 4,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.32 : 15,672.48 = 3,050.82 : x
  2. Step 2: Convert to fraction form
    10,447.32/15,672.48 = 3,050.82/x
  3. Step 3: Cross multiply
    10,447.32x = 15,672.48 × 3,050.82
  4. Step 4: Simplify right side
    10,447.32x = 47,813,915.43
  5. Step 5: Solve for x
    x = 47,813,915.43/10,447.32
  6. Step 6: Final answer
    x = 4,576.67

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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.