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Finding the Fourth Proportional to 10,756, 16,141.20 and 4,601.44

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Solution

The fourth proportional to 10,756, 16,141.20 and 4,601.44 is: 6,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756 : 16,141.20 = 4,601.44 : x
  2. Step 2: Convert to fraction form
    10,756/16,141.20 = 4,601.44/x
  3. Step 3: Cross multiply
    10,756x = 16,141.20 × 4,601.44
  4. Step 4: Simplify right side
    10,756x = 74,272,763.33
  5. Step 5: Solve for x
    x = 74,272,763.33/10,756
  6. Step 6: Final answer
    x = 6,905.24

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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.