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Finding the Fourth Proportional to 11,052.34, 16,583.46 and 5,857

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Solution

The fourth proportional to 11,052.34, 16,583.46 and 5,857 is: 8,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.34 : 16,583.46 = 5,857 : x
  2. Step 2: Convert to fraction form
    11,052.34/16,583.46 = 5,857/x
  3. Step 3: Cross multiply
    11,052.34x = 16,583.46 × 5,857
  4. Step 4: Simplify right side
    11,052.34x = 97,129,325.22
  5. Step 5: Solve for x
    x = 97,129,325.22/11,052.34
  6. Step 6: Final answer
    x = 8,788.12

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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.