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Finding the Fourth Proportional to 10,940.80, 16,406.40 and 4,364.80

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Solution

The fourth proportional to 10,940.80, 16,406.40 and 4,364.80 is: 6,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.80 : 16,406.40 = 4,364.80 : x
  2. Step 2: Convert to fraction form
    10,940.80/16,406.40 = 4,364.80/x
  3. Step 3: Cross multiply
    10,940.80x = 16,406.40 × 4,364.80
  4. Step 4: Simplify right side
    10,940.80x = 71,610,654.72
  5. Step 5: Solve for x
    x = 71,610,654.72/10,940.80
  6. Step 6: Final answer
    x = 6,545.29

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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.