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Finding the Fourth Proportional to 12,442.79, 17,163.51 and 7,964.96

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Solution

The fourth proportional to 12,442.79, 17,163.51 and 7,964.96 is: 10,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.79 : 17,163.51 = 7,964.96 : x
  2. Step 2: Convert to fraction form
    12,442.79/17,163.51 = 7,964.96/x
  3. Step 3: Cross multiply
    12,442.79x = 17,163.51 × 7,964.96
  4. Step 4: Simplify right side
    12,442.79x = 136,706,670.61
  5. Step 5: Solve for x
    x = 136,706,670.61/12,442.79
  6. Step 6: Final answer
    x = 10,986.82

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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.