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Finding the Fourth Proportional to 11,904.80, 16,425.60 and 7,428.20

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Solution

The fourth proportional to 11,904.80, 16,425.60 and 7,428.20 is: 10,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.80 : 16,425.60 = 7,428.20 : x
  2. Step 2: Convert to fraction form
    11,904.80/16,425.60 = 7,428.20/x
  3. Step 3: Cross multiply
    11,904.80x = 16,425.60 × 7,428.20
  4. Step 4: Simplify right side
    11,904.80x = 122,012,641.92
  5. Step 5: Solve for x
    x = 122,012,641.92/11,904.80
  6. Step 6: Final answer
    x = 10,249.03

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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.