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Finding the Fourth Proportional to 7,745.76, 10,689.36 and 4,209.18

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Solution

The fourth proportional to 7,745.76, 10,689.36 and 4,209.18 is: 5,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.76 : 10,689.36 = 4,209.18 : x
  2. Step 2: Convert to fraction form
    7,745.76/10,689.36 = 4,209.18/x
  3. Step 3: Cross multiply
    7,745.76x = 10,689.36 × 4,209.18
  4. Step 4: Simplify right side
    7,745.76x = 44,993,440.32
  5. Step 5: Solve for x
    x = 44,993,440.32/7,745.76
  6. Step 6: Final answer
    x = 5,808.78

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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.