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Finding the Fourth Proportional to 8,544.98, 12,825.68 and 4,165.51

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Solution

The fourth proportional to 8,544.98, 12,825.68 and 4,165.51 is: 6,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.98 : 12,825.68 = 4,165.51 : x
  2. Step 2: Convert to fraction form
    8,544.98/12,825.68 = 4,165.51/x
  3. Step 3: Cross multiply
    8,544.98x = 12,825.68 × 4,165.51
  4. Step 4: Simplify right side
    8,544.98x = 53,425,469.45
  5. Step 5: Solve for x
    x = 53,425,469.45/8,544.98
  6. Step 6: Final answer
    x = 6,252.27

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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.