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Finding the Fourth Proportional to 7,311.09, 10,089.03 and 4,166.67

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Solution

The fourth proportional to 7,311.09, 10,089.03 and 4,166.67 is: 5,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.09 : 10,089.03 = 4,166.67 : x
  2. Step 2: Convert to fraction form
    7,311.09/10,089.03 = 4,166.67/x
  3. Step 3: Cross multiply
    7,311.09x = 10,089.03 × 4,166.67
  4. Step 4: Simplify right side
    7,311.09x = 42,037,658.63
  5. Step 5: Solve for x
    x = 42,037,658.63/7,311.09
  6. Step 6: Final answer
    x = 5,749.85

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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.