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Finding the Fourth Proportional to 12,875.36, 17,768.26 and 7,839.79

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Solution

The fourth proportional to 12,875.36, 17,768.26 and 7,839.79 is: 10,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.36 : 17,768.26 = 7,839.79 : x
  2. Step 2: Convert to fraction form
    12,875.36/17,768.26 = 7,839.79/x
  3. Step 3: Cross multiply
    12,875.36x = 17,768.26 × 7,839.79
  4. Step 4: Simplify right side
    12,875.36x = 139,299,392.44
  5. Step 5: Solve for x
    x = 139,299,392.44/12,875.36
  6. Step 6: Final answer
    x = 10,819.07

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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.