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Finding the Fourth Proportional to 11,823.14, 16,323.53 and 7,352.97

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Solution

The fourth proportional to 11,823.14, 16,323.53 and 7,352.97 is: 10,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.14 : 16,323.53 = 7,352.97 : x
  2. Step 2: Convert to fraction form
    11,823.14/16,323.53 = 7,352.97/x
  3. Step 3: Cross multiply
    11,823.14x = 16,323.53 × 7,352.97
  4. Step 4: Simplify right side
    11,823.14x = 120,026,389.62
  5. Step 5: Solve for x
    x = 120,026,389.62/11,823.14
  6. Step 6: Final answer
    x = 10,151.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.