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Finding the Fourth Proportional to 8,385.46, 12,580.22 and 3,120.67

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Solution

The fourth proportional to 8,385.46, 12,580.22 and 3,120.67 is: 4,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.46 : 12,580.22 = 3,120.67 : x
  2. Step 2: Convert to fraction form
    8,385.46/12,580.22 = 3,120.67/x
  3. Step 3: Cross multiply
    8,385.46x = 12,580.22 × 3,120.67
  4. Step 4: Simplify right side
    8,385.46x = 39,258,715.15
  5. Step 5: Solve for x
    x = 39,258,715.15/8,385.46
  6. Step 6: Final answer
    x = 4,681.76

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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.