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Finding the Fourth Proportional to 11,675.25, 16,107.48 and 7,485.93

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Solution

The fourth proportional to 11,675.25, 16,107.48 and 7,485.93 is: 10,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.25 : 16,107.48 = 7,485.93 : x
  2. Step 2: Convert to fraction form
    11,675.25/16,107.48 = 7,485.93/x
  3. Step 3: Cross multiply
    11,675.25x = 16,107.48 × 7,485.93
  4. Step 4: Simplify right side
    11,675.25x = 120,579,467.76
  5. Step 5: Solve for x
    x = 120,579,467.76/11,675.25
  6. Step 6: Final answer
    x = 10,327.78

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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.