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Finding the Fourth Proportional to 8,201.47, 12,302.25 and 4,501.67

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Solution

The fourth proportional to 8,201.47, 12,302.25 and 4,501.67 is: 6,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.47 : 12,302.25 = 4,501.67 : x
  2. Step 2: Convert to fraction form
    8,201.47/12,302.25 = 4,501.67/x
  3. Step 3: Cross multiply
    8,201.47x = 12,302.25 × 4,501.67
  4. Step 4: Simplify right side
    8,201.47x = 55,380,647.25
  5. Step 5: Solve for x
    x = 55,380,647.25/8,201.47
  6. Step 6: Final answer
    x = 6,752.53

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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.