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Finding the Fourth Proportional to 11,904.50, 16,428.21 and 7,189.94

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Solution

The fourth proportional to 11,904.50, 16,428.21 and 7,189.94 is: 9,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.50 : 16,428.21 = 7,189.94 : x
  2. Step 2: Convert to fraction form
    11,904.50/16,428.21 = 7,189.94/x
  3. Step 3: Cross multiply
    11,904.50x = 16,428.21 × 7,189.94
  4. Step 4: Simplify right side
    11,904.50x = 118,117,844.21
  5. Step 5: Solve for x
    x = 118,117,844.21/11,904.50
  6. Step 6: Final answer
    x = 9,922.12

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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.