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Finding the Fourth Proportional to 11,804.95, 16,290.63 and 6,768.87

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Solution

The fourth proportional to 11,804.95, 16,290.63 and 6,768.87 is: 9,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.95 : 16,290.63 = 6,768.87 : x
  2. Step 2: Convert to fraction form
    11,804.95/16,290.63 = 6,768.87/x
  3. Step 3: Cross multiply
    11,804.95x = 16,290.63 × 6,768.87
  4. Step 4: Simplify right side
    11,804.95x = 110,269,173.61
  5. Step 5: Solve for x
    x = 110,269,173.61/11,804.95
  6. Step 6: Final answer
    x = 9,340.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.