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Finding the Fourth Proportional to 7,440.34, 10,267.50 and 4,083.16

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Solution

The fourth proportional to 7,440.34, 10,267.50 and 4,083.16 is: 5,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.34 : 10,267.50 = 4,083.16 : x
  2. Step 2: Convert to fraction form
    7,440.34/10,267.50 = 4,083.16/x
  3. Step 3: Cross multiply
    7,440.34x = 10,267.50 × 4,083.16
  4. Step 4: Simplify right side
    7,440.34x = 41,923,845.30
  5. Step 5: Solve for x
    x = 41,923,845.30/7,440.34
  6. Step 6: Final answer
    x = 5,634.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.