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Finding the Fourth Proportional to 12,875.88, 17,768.10 and 7,906.92

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Solution

The fourth proportional to 12,875.88, 17,768.10 and 7,906.92 is: 10,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.88 : 17,768.10 = 7,906.92 : x
  2. Step 2: Convert to fraction form
    12,875.88/17,768.10 = 7,906.92/x
  3. Step 3: Cross multiply
    12,875.88x = 17,768.10 × 7,906.92
  4. Step 4: Simplify right side
    12,875.88x = 140,490,945.25
  5. Step 5: Solve for x
    x = 140,490,945.25/12,875.88
  6. Step 6: Final answer
    x = 10,911.17

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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.