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Finding the Fourth Proportional to 8,625.16, 11,900.82 and 5,485.96

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Solution

The fourth proportional to 8,625.16, 11,900.82 and 5,485.96 is: 7,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.16 : 11,900.82 = 5,485.96 : x
  2. Step 2: Convert to fraction form
    8,625.16/11,900.82 = 5,485.96/x
  3. Step 3: Cross multiply
    8,625.16x = 11,900.82 × 5,485.96
  4. Step 4: Simplify right side
    8,625.16x = 65,287,422.49
  5. Step 5: Solve for x
    x = 65,287,422.49/8,625.16
  6. Step 6: Final answer
    x = 7,569.42

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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.