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Finding the Fourth Proportional to 8,273.66, 11,416.36 and 4,916.38

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Solution

The fourth proportional to 8,273.66, 11,416.36 and 4,916.38 is: 6,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.66 : 11,416.36 = 4,916.38 : x
  2. Step 2: Convert to fraction form
    8,273.66/11,416.36 = 4,916.38/x
  3. Step 3: Cross multiply
    8,273.66x = 11,416.36 × 4,916.38
  4. Step 4: Simplify right side
    8,273.66x = 56,127,163.98
  5. Step 5: Solve for x
    x = 56,127,163.98/8,273.66
  6. Step 6: Final answer
    x = 6,783.84

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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.