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Finding the Fourth Proportional to 11,463, 17,190.90 and 4,442.53

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Solution

The fourth proportional to 11,463, 17,190.90 and 4,442.53 is: 6,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463 : 17,190.90 = 4,442.53 : x
  2. Step 2: Convert to fraction form
    11,463/17,190.90 = 4,442.53/x
  3. Step 3: Cross multiply
    11,463x = 17,190.90 × 4,442.53
  4. Step 4: Simplify right side
    11,463x = 76,371,088.98
  5. Step 5: Solve for x
    x = 76,371,088.98/11,463
  6. Step 6: Final answer
    x = 6,662.40

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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.