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Finding the Fourth Proportional to 11,919.84, 16,442.54 and 7,435.80

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Solution

The fourth proportional to 11,919.84, 16,442.54 and 7,435.80 is: 10,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.84 : 16,442.54 = 7,435.80 : x
  2. Step 2: Convert to fraction form
    11,919.84/16,442.54 = 7,435.80/x
  3. Step 3: Cross multiply
    11,919.84x = 16,442.54 × 7,435.80
  4. Step 4: Simplify right side
    11,919.84x = 122,263,438.93
  5. Step 5: Solve for x
    x = 122,263,438.93/11,919.84
  6. Step 6: Final answer
    x = 10,257.14

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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.