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Finding the Fourth Proportional to 11,362.36, 15,675.78 and 8,385.32

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Solution

The fourth proportional to 11,362.36, 15,675.78 and 8,385.32 is: 11,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.36 : 15,675.78 = 8,385.32 : x
  2. Step 2: Convert to fraction form
    11,362.36/15,675.78 = 8,385.32/x
  3. Step 3: Cross multiply
    11,362.36x = 15,675.78 × 8,385.32
  4. Step 4: Simplify right side
    11,362.36x = 131,446,431.55
  5. Step 5: Solve for x
    x = 131,446,431.55/11,362.36
  6. Step 6: Final answer
    x = 11,568.59

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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.