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Finding the Fourth Proportional to 11,885.34, 17,828.46 and 5,311.56

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Solution

The fourth proportional to 11,885.34, 17,828.46 and 5,311.56 is: 7,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.34 : 17,828.46 = 5,311.56 : x
  2. Step 2: Convert to fraction form
    11,885.34/17,828.46 = 5,311.56/x
  3. Step 3: Cross multiply
    11,885.34x = 17,828.46 × 5,311.56
  4. Step 4: Simplify right side
    11,885.34x = 94,696,935.00
  5. Step 5: Solve for x
    x = 94,696,935.00/11,885.34
  6. Step 6: Final answer
    x = 7,967.54

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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.