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Finding the Fourth Proportional to 11,484.70, 17,234.34 and 4,916.41

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Solution

The fourth proportional to 11,484.70, 17,234.34 and 4,916.41 is: 7,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.70 : 17,234.34 = 4,916.41 : x
  2. Step 2: Convert to fraction form
    11,484.70/17,234.34 = 4,916.41/x
  3. Step 3: Cross multiply
    11,484.70x = 17,234.34 × 4,916.41
  4. Step 4: Simplify right side
    11,484.70x = 84,731,081.52
  5. Step 5: Solve for x
    x = 84,731,081.52/11,484.70
  6. Step 6: Final answer
    x = 7,377.74

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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.