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Finding the Fourth Proportional to 7,745.90, 10,682.42 and 6,417.27

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Solution

The fourth proportional to 7,745.90, 10,682.42 and 6,417.27 is: 8,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.90 : 10,682.42 = 6,417.27 : x
  2. Step 2: Convert to fraction form
    7,745.90/10,682.42 = 6,417.27/x
  3. Step 3: Cross multiply
    7,745.90x = 10,682.42 × 6,417.27
  4. Step 4: Simplify right side
    7,745.90x = 68,551,941.31
  5. Step 5: Solve for x
    x = 68,551,941.31/7,745.90
  6. Step 6: Final answer
    x = 8,850.10

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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.