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Finding the Fourth Proportional to 7,688.94, 10,609.89 and 4,331.67

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Solution

The fourth proportional to 7,688.94, 10,609.89 and 4,331.67 is: 5,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.94 : 10,609.89 = 4,331.67 : x
  2. Step 2: Convert to fraction form
    7,688.94/10,609.89 = 4,331.67/x
  3. Step 3: Cross multiply
    7,688.94x = 10,609.89 × 4,331.67
  4. Step 4: Simplify right side
    7,688.94x = 45,958,542.22
  5. Step 5: Solve for x
    x = 45,958,542.22/7,688.94
  6. Step 6: Final answer
    x = 5,977.23

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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.