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Finding the Fourth Proportional to 8,223.36, 12,332.16 and 2,675.67

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Solution

The fourth proportional to 8,223.36, 12,332.16 and 2,675.67 is: 4,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.36 : 12,332.16 = 2,675.67 : x
  2. Step 2: Convert to fraction form
    8,223.36/12,332.16 = 2,675.67/x
  3. Step 3: Cross multiply
    8,223.36x = 12,332.16 × 2,675.67
  4. Step 4: Simplify right side
    8,223.36x = 32,996,790.55
  5. Step 5: Solve for x
    x = 32,996,790.55/8,223.36
  6. Step 6: Final answer
    x = 4,012.57

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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.