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Finding the Fourth Proportional to 11,405.19, 15,737.76 and 6,369.69

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Solution

The fourth proportional to 11,405.19, 15,737.76 and 6,369.69 is: 8,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.19 : 15,737.76 = 6,369.69 : x
  2. Step 2: Convert to fraction form
    11,405.19/15,737.76 = 6,369.69/x
  3. Step 3: Cross multiply
    11,405.19x = 15,737.76 × 6,369.69
  4. Step 4: Simplify right side
    11,405.19x = 100,244,652.49
  5. Step 5: Solve for x
    x = 100,244,652.49/11,405.19
  6. Step 6: Final answer
    x = 8,789.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.