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Finding the Fourth Proportional to 7,632.96, 11,450.67 and 3,737.67

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Solution

The fourth proportional to 7,632.96, 11,450.67 and 3,737.67 is: 5,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.96 : 11,450.67 = 3,737.67 : x
  2. Step 2: Convert to fraction form
    7,632.96/11,450.67 = 3,737.67/x
  3. Step 3: Cross multiply
    7,632.96x = 11,450.67 × 3,737.67
  4. Step 4: Simplify right side
    7,632.96x = 42,798,825.74
  5. Step 5: Solve for x
    x = 42,798,825.74/7,632.96
  6. Step 6: Final answer
    x = 5,607.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.