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Finding the Fourth Proportional to 11,765.99, 17,653.57 and 5,187.55

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Solution

The fourth proportional to 11,765.99, 17,653.57 and 5,187.55 is: 7,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.99 : 17,653.57 = 5,187.55 : x
  2. Step 2: Convert to fraction form
    11,765.99/17,653.57 = 5,187.55/x
  3. Step 3: Cross multiply
    11,765.99x = 17,653.57 × 5,187.55
  4. Step 4: Simplify right side
    11,765.99x = 91,578,719.95
  5. Step 5: Solve for x
    x = 91,578,719.95/11,765.99
  6. Step 6: Final answer
    x = 7,783.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.