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Finding the Fourth Proportional to 12,757, 17,597.32 and 7,968.64

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Solution

The fourth proportional to 12,757, 17,597.32 and 7,968.64 is: 10,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757 : 17,597.32 = 7,968.64 : x
  2. Step 2: Convert to fraction form
    12,757/17,597.32 = 7,968.64/x
  3. Step 3: Cross multiply
    12,757x = 17,597.32 × 7,968.64
  4. Step 4: Simplify right side
    12,757x = 140,226,708.04
  5. Step 5: Solve for x
    x = 140,226,708.04/12,757
  6. Step 6: Final answer
    x = 10,992.14

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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.