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Finding the Fourth Proportional to 11,785.34, 17,664.28 and 5,541.46

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Solution

The fourth proportional to 11,785.34, 17,664.28 and 5,541.46 is: 8,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.34 : 17,664.28 = 5,541.46 : x
  2. Step 2: Convert to fraction form
    11,785.34/17,664.28 = 5,541.46/x
  3. Step 3: Cross multiply
    11,785.34x = 17,664.28 × 5,541.46
  4. Step 4: Simplify right side
    11,785.34x = 97,885,901.05
  5. Step 5: Solve for x
    x = 97,885,901.05/11,785.34
  6. Step 6: Final answer
    x = 8,305.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.