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Finding the Fourth Proportional to 11,745.42, 16,205.31 and 7,765.08

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Solution

The fourth proportional to 11,745.42, 16,205.31 and 7,765.08 is: 10,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.42 : 16,205.31 = 7,765.08 : x
  2. Step 2: Convert to fraction form
    11,745.42/16,205.31 = 7,765.08/x
  3. Step 3: Cross multiply
    11,745.42x = 16,205.31 × 7,765.08
  4. Step 4: Simplify right side
    11,745.42x = 125,835,528.57
  5. Step 5: Solve for x
    x = 125,835,528.57/11,745.42
  6. Step 6: Final answer
    x = 10,713.58

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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.