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Finding the Fourth Proportional to 11,870.92, 16,383.79 and 7,089.34

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Solution

The fourth proportional to 11,870.92, 16,383.79 and 7,089.34 is: 9,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.92 : 16,383.79 = 7,089.34 : x
  2. Step 2: Convert to fraction form
    11,870.92/16,383.79 = 7,089.34/x
  3. Step 3: Cross multiply
    11,870.92x = 16,383.79 × 7,089.34
  4. Step 4: Simplify right side
    11,870.92x = 116,150,262.57
  5. Step 5: Solve for x
    x = 116,150,262.57/11,870.92
  6. Step 6: Final answer
    x = 9,784.43

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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.