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Finding the Fourth Proportional to 10,921.92, 16,383.30 and 3,526.50

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Solution

The fourth proportional to 10,921.92, 16,383.30 and 3,526.50 is: 5,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.92 : 16,383.30 = 3,526.50 : x
  2. Step 2: Convert to fraction form
    10,921.92/16,383.30 = 3,526.50/x
  3. Step 3: Cross multiply
    10,921.92x = 16,383.30 × 3,526.50
  4. Step 4: Simplify right side
    10,921.92x = 57,775,707.45
  5. Step 5: Solve for x
    x = 57,775,707.45/10,921.92
  6. Step 6: Final answer
    x = 5,289.89

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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.