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Finding the Fourth Proportional to 7,745.71, 10,688.68 and 4,208.92

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Solution

The fourth proportional to 7,745.71, 10,688.68 and 4,208.92 is: 5,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.71 : 10,688.68 = 4,208.92 : x
  2. Step 2: Convert to fraction form
    7,745.71/10,688.68 = 4,208.92/x
  3. Step 3: Cross multiply
    7,745.71x = 10,688.68 × 4,208.92
  4. Step 4: Simplify right side
    7,745.71x = 44,987,799.03
  5. Step 5: Solve for x
    x = 44,987,799.03/7,745.71
  6. Step 6: Final answer
    x = 5,808.09

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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.