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Finding the Fourth Proportional to 11,503.24, 15,879.12 and 7,728.62

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Solution

The fourth proportional to 11,503.24, 15,879.12 and 7,728.62 is: 10,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.24 : 15,879.12 = 7,728.62 : x
  2. Step 2: Convert to fraction form
    11,503.24/15,879.12 = 7,728.62/x
  3. Step 3: Cross multiply
    11,503.24x = 15,879.12 × 7,728.62
  4. Step 4: Simplify right side
    11,503.24x = 122,723,684.41
  5. Step 5: Solve for x
    x = 122,723,684.41/11,503.24
  6. Step 6: Final answer
    x = 10,668.62

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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.