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Finding the Fourth Proportional to 11,804.70, 16,288.77 and 7,559.49

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Solution

The fourth proportional to 11,804.70, 16,288.77 and 7,559.49 is: 10,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.70 : 16,288.77 = 7,559.49 : x
  2. Step 2: Convert to fraction form
    11,804.70/16,288.77 = 7,559.49/x
  3. Step 3: Cross multiply
    11,804.70x = 16,288.77 × 7,559.49
  4. Step 4: Simplify right side
    11,804.70x = 123,134,793.93
  5. Step 5: Solve for x
    x = 123,134,793.93/11,804.70
  6. Step 6: Final answer
    x = 10,431.00

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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.