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Finding the Fourth Proportional to 11,895.84, 16,419.64 and 7,180.44

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Solution

The fourth proportional to 11,895.84, 16,419.64 and 7,180.44 is: 9,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.84 : 16,419.64 = 7,180.44 : x
  2. Step 2: Convert to fraction form
    11,895.84/16,419.64 = 7,180.44/x
  3. Step 3: Cross multiply
    11,895.84x = 16,419.64 × 7,180.44
  4. Step 4: Simplify right side
    11,895.84x = 117,900,239.84
  5. Step 5: Solve for x
    x = 117,900,239.84/11,895.84
  6. Step 6: Final answer
    x = 9,911.05

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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.