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Finding the Fourth Proportional to 8,675.40, 12,993.66 and 5,205.48

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Solution

The fourth proportional to 8,675.40, 12,993.66 and 5,205.48 is: 7,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.40 : 12,993.66 = 5,205.48 : x
  2. Step 2: Convert to fraction form
    8,675.40/12,993.66 = 5,205.48/x
  3. Step 3: Cross multiply
    8,675.40x = 12,993.66 × 5,205.48
  4. Step 4: Simplify right side
    8,675.40x = 67,638,237.26
  5. Step 5: Solve for x
    x = 67,638,237.26/8,675.40
  6. Step 6: Final answer
    x = 7,796.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.