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Finding the Fourth Proportional to 7,745.93, 10,689.45 and 4,209.14

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Solution

The fourth proportional to 7,745.93, 10,689.45 and 4,209.14 is: 5,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.93 : 10,689.45 = 4,209.14 : x
  2. Step 2: Convert to fraction form
    7,745.93/10,689.45 = 4,209.14/x
  3. Step 3: Cross multiply
    7,745.93x = 10,689.45 × 4,209.14
  4. Step 4: Simplify right side
    7,745.93x = 44,993,362.43
  5. Step 5: Solve for x
    x = 44,993,362.43/7,745.93
  6. Step 6: Final answer
    x = 5,808.65

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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.