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Finding the Fourth Proportional to 11,176.93, 15,423.90 and 6,072.38

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Solution

The fourth proportional to 11,176.93, 15,423.90 and 6,072.38 is: 8,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.93 : 15,423.90 = 6,072.38 : x
  2. Step 2: Convert to fraction form
    11,176.93/15,423.90 = 6,072.38/x
  3. Step 3: Cross multiply
    11,176.93x = 15,423.90 × 6,072.38
  4. Step 4: Simplify right side
    11,176.93x = 93,659,704.76
  5. Step 5: Solve for x
    x = 93,659,704.76/11,176.93
  6. Step 6: Final answer
    x = 8,379.74

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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.