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Finding the Fourth Proportional to 11,626.80, 16,047.53 and 7,648.30

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Solution

The fourth proportional to 11,626.80, 16,047.53 and 7,648.30 is: 10,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.80 : 16,047.53 = 7,648.30 : x
  2. Step 2: Convert to fraction form
    11,626.80/16,047.53 = 7,648.30/x
  3. Step 3: Cross multiply
    11,626.80x = 16,047.53 × 7,648.30
  4. Step 4: Simplify right side
    11,626.80x = 122,736,323.70
  5. Step 5: Solve for x
    x = 122,736,323.70/11,626.80
  6. Step 6: Final answer
    x = 10,556.33

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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.