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Finding the Fourth Proportional to 11,230.77, 16,852.23 and 4,661.49

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Solution

The fourth proportional to 11,230.77, 16,852.23 and 4,661.49 is: 6,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.77 : 16,852.23 = 4,661.49 : x
  2. Step 2: Convert to fraction form
    11,230.77/16,852.23 = 4,661.49/x
  3. Step 3: Cross multiply
    11,230.77x = 16,852.23 × 4,661.49
  4. Step 4: Simplify right side
    11,230.77x = 78,556,501.62
  5. Step 5: Solve for x
    x = 78,556,501.62/11,230.77
  6. Step 6: Final answer
    x = 6,994.76

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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.