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Finding the Fourth Proportional to 8,217.72, 12,328.74 and 2,953.26

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Solution

The fourth proportional to 8,217.72, 12,328.74 and 2,953.26 is: 4,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.72 : 12,328.74 = 2,953.26 : x
  2. Step 2: Convert to fraction form
    8,217.72/12,328.74 = 2,953.26/x
  3. Step 3: Cross multiply
    8,217.72x = 12,328.74 × 2,953.26
  4. Step 4: Simplify right side
    8,217.72x = 36,409,974.69
  5. Step 5: Solve for x
    x = 36,409,974.69/8,217.72
  6. Step 6: Final answer
    x = 4,430.67

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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.