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Finding the Fourth Proportional to 11,640.98, 17,465.12 and 7,485.68

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Solution

The fourth proportional to 11,640.98, 17,465.12 and 7,485.68 is: 11,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.98 : 17,465.12 = 7,485.68 : x
  2. Step 2: Convert to fraction form
    11,640.98/17,465.12 = 7,485.68/x
  3. Step 3: Cross multiply
    11,640.98x = 17,465.12 × 7,485.68
  4. Step 4: Simplify right side
    11,640.98x = 130,738,333.79
  5. Step 5: Solve for x
    x = 130,738,333.79/11,640.98
  6. Step 6: Final answer
    x = 11,230.87

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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.