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Finding the Fourth Proportional to 7,222.54, 10,829 and 2,604.94

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Solution

The fourth proportional to 7,222.54, 10,829 and 2,604.94 is: 3,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.54 : 10,829 = 2,604.94 : x
  2. Step 2: Convert to fraction form
    7,222.54/10,829 = 2,604.94/x
  3. Step 3: Cross multiply
    7,222.54x = 10,829 × 2,604.94
  4. Step 4: Simplify right side
    7,222.54x = 28,208,841.12
  5. Step 5: Solve for x
    x = 28,208,841.12/7,222.54
  6. Step 6: Final answer
    x = 3,905.67

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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.