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Finding the Fourth Proportional to 12,135.18, 16,749.27 and 7,941

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Solution

The fourth proportional to 12,135.18, 16,749.27 and 7,941 is: 10,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.18 : 16,749.27 = 7,941 : x
  2. Step 2: Convert to fraction form
    12,135.18/16,749.27 = 7,941/x
  3. Step 3: Cross multiply
    12,135.18x = 16,749.27 × 7,941
  4. Step 4: Simplify right side
    12,135.18x = 133,005,953.07
  5. Step 5: Solve for x
    x = 133,005,953.07/12,135.18
  6. Step 6: Final answer
    x = 10,960.36

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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.