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Finding the Fourth Proportional to 10,779.53, 16,170.82 and 3,384.56

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Solution

The fourth proportional to 10,779.53, 16,170.82 and 3,384.56 is: 5,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.53 : 16,170.82 = 3,384.56 : x
  2. Step 2: Convert to fraction form
    10,779.53/16,170.82 = 3,384.56/x
  3. Step 3: Cross multiply
    10,779.53x = 16,170.82 × 3,384.56
  4. Step 4: Simplify right side
    10,779.53x = 54,731,142.50
  5. Step 5: Solve for x
    x = 54,731,142.50/10,779.53
  6. Step 6: Final answer
    x = 5,077.32

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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.