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Finding the Fourth Proportional to 7,745.49, 10,688.73 and 4,208.67

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Solution

The fourth proportional to 7,745.49, 10,688.73 and 4,208.67 is: 5,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.49 : 10,688.73 = 4,208.67 : x
  2. Step 2: Convert to fraction form
    7,745.49/10,688.73 = 4,208.67/x
  3. Step 3: Cross multiply
    7,745.49x = 10,688.73 × 4,208.67
  4. Step 4: Simplify right side
    7,745.49x = 44,985,337.29
  5. Step 5: Solve for x
    x = 44,985,337.29/7,745.49
  6. Step 6: Final answer
    x = 5,807.94

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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.