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Finding the Fourth Proportional to 11,905.18, 16,429.84 and 7,190.16

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Solution

The fourth proportional to 11,905.18, 16,429.84 and 7,190.16 is: 9,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.18 : 16,429.84 = 7,190.16 : x
  2. Step 2: Convert to fraction form
    11,905.18/16,429.84 = 7,190.16/x
  3. Step 3: Cross multiply
    11,905.18x = 16,429.84 × 7,190.16
  4. Step 4: Simplify right side
    11,905.18x = 118,133,178.37
  5. Step 5: Solve for x
    x = 118,133,178.37/11,905.18
  6. Step 6: Final answer
    x = 9,922.84

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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.