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Finding the Fourth Proportional to 11,462.48, 17,193 and 6,842

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Solution

The fourth proportional to 11,462.48, 17,193 and 6,842 is: 10,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.48 : 17,193 = 6,842 : x
  2. Step 2: Convert to fraction form
    11,462.48/17,193 = 6,842/x
  3. Step 3: Cross multiply
    11,462.48x = 17,193 × 6,842
  4. Step 4: Simplify right side
    11,462.48x = 117,634,506
  5. Step 5: Solve for x
    x = 117,634,506/11,462.48
  6. Step 6: Final answer
    x = 10,262.57

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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.