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Finding the Fourth Proportional to 11,785.23, 16,266.83 and 7,600.77

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Solution

The fourth proportional to 11,785.23, 16,266.83 and 7,600.77 is: 10,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.23 : 16,266.83 = 7,600.77 : x
  2. Step 2: Convert to fraction form
    11,785.23/16,266.83 = 7,600.77/x
  3. Step 3: Cross multiply
    11,785.23x = 16,266.83 × 7,600.77
  4. Step 4: Simplify right side
    11,785.23x = 123,640,395.46
  5. Step 5: Solve for x
    x = 123,640,395.46/11,785.23
  6. Step 6: Final answer
    x = 10,491.13

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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.