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Finding the Fourth Proportional to 10,920.92, 16,381.80 and 3,525.50

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Solution

The fourth proportional to 10,920.92, 16,381.80 and 3,525.50 is: 5,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.92 : 16,381.80 = 3,525.50 : x
  2. Step 2: Convert to fraction form
    10,920.92/16,381.80 = 3,525.50/x
  3. Step 3: Cross multiply
    10,920.92x = 16,381.80 × 3,525.50
  4. Step 4: Simplify right side
    10,920.92x = 57,754,035.90
  5. Step 5: Solve for x
    x = 57,754,035.90/10,920.92
  6. Step 6: Final answer
    x = 5,288.39

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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.