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Finding the Fourth Proportional to 7,745.69, 10,688.73 and 4,208.81

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Solution

The fourth proportional to 7,745.69, 10,688.73 and 4,208.81 is: 5,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.69 : 10,688.73 = 4,208.81 : x
  2. Step 2: Convert to fraction form
    7,745.69/10,688.73 = 4,208.81/x
  3. Step 3: Cross multiply
    7,745.69x = 10,688.73 × 4,208.81
  4. Step 4: Simplify right side
    7,745.69x = 44,986,833.71
  5. Step 5: Solve for x
    x = 44,986,833.71/7,745.69
  6. Step 6: Final answer
    x = 5,807.98

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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.