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Finding the Fourth Proportional to 12,975.64, 17,906.74 and 7,939.77

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Solution

The fourth proportional to 12,975.64, 17,906.74 and 7,939.77 is: 10,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.64 : 17,906.74 = 7,939.77 : x
  2. Step 2: Convert to fraction form
    12,975.64/17,906.74 = 7,939.77/x
  3. Step 3: Cross multiply
    12,975.64x = 17,906.74 × 7,939.77
  4. Step 4: Simplify right side
    12,975.64x = 142,175,267.82
  5. Step 5: Solve for x
    x = 142,175,267.82/12,975.64
  6. Step 6: Final answer
    x = 10,957.10

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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.