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Finding the Fourth Proportional to 11,677.14, 16,120.50 and 7,203.30

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Solution

The fourth proportional to 11,677.14, 16,120.50 and 7,203.30 is: 9,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.14 : 16,120.50 = 7,203.30 : x
  2. Step 2: Convert to fraction form
    11,677.14/16,120.50 = 7,203.30/x
  3. Step 3: Cross multiply
    11,677.14x = 16,120.50 × 7,203.30
  4. Step 4: Simplify right side
    11,677.14x = 116,120,797.65
  5. Step 5: Solve for x
    x = 116,120,797.65/11,677.14
  6. Step 6: Final answer
    x = 9,944.28

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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.