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Finding the Fourth Proportional to 12,964.37, 17,887.97 and 7,656.44

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Solution

The fourth proportional to 12,964.37, 17,887.97 and 7,656.44 is: 10,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.37 : 17,887.97 = 7,656.44 : x
  2. Step 2: Convert to fraction form
    12,964.37/17,887.97 = 7,656.44/x
  3. Step 3: Cross multiply
    12,964.37x = 17,887.97 × 7,656.44
  4. Step 4: Simplify right side
    12,964.37x = 136,958,098.73
  5. Step 5: Solve for x
    x = 136,958,098.73/12,964.37
  6. Step 6: Final answer
    x = 10,564.20

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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.