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Finding the Fourth Proportional to 11,153.34, 16,697.16 and 7,446.37

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Solution

The fourth proportional to 11,153.34, 16,697.16 and 7,446.37 is: 11,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.34 : 16,697.16 = 7,446.37 : x
  2. Step 2: Convert to fraction form
    11,153.34/16,697.16 = 7,446.37/x
  3. Step 3: Cross multiply
    11,153.34x = 16,697.16 × 7,446.37
  4. Step 4: Simplify right side
    11,153.34x = 124,333,231.31
  5. Step 5: Solve for x
    x = 124,333,231.31/11,153.34
  6. Step 6: Final answer
    x = 11,147.63

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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.