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Finding the Fourth Proportional to 11,795.34, 16,268.36 and 7,815

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Solution

The fourth proportional to 11,795.34, 16,268.36 and 7,815 is: 10,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.34 : 16,268.36 = 7,815 : x
  2. Step 2: Convert to fraction form
    11,795.34/16,268.36 = 7,815/x
  3. Step 3: Cross multiply
    11,795.34x = 16,268.36 × 7,815
  4. Step 4: Simplify right side
    11,795.34x = 127,137,233.40
  5. Step 5: Solve for x
    x = 127,137,233.40/11,795.34
  6. Step 6: Final answer
    x = 10,778.60

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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.