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Finding the Fourth Proportional to 10,957.56, 16,437.94 and 5,763.80

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Solution

The fourth proportional to 10,957.56, 16,437.94 and 5,763.80 is: 8,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.56 : 16,437.94 = 5,763.80 : x
  2. Step 2: Convert to fraction form
    10,957.56/16,437.94 = 5,763.80/x
  3. Step 3: Cross multiply
    10,957.56x = 16,437.94 × 5,763.80
  4. Step 4: Simplify right side
    10,957.56x = 94,744,998.57
  5. Step 5: Solve for x
    x = 94,744,998.57/10,957.56
  6. Step 6: Final answer
    x = 8,646.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.