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Finding the Fourth Proportional to 8,247, 11,380.90 and 4,935

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Solution

The fourth proportional to 8,247, 11,380.90 and 4,935 is: 6,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247 : 11,380.90 = 4,935 : x
  2. Step 2: Convert to fraction form
    8,247/11,380.90 = 4,935/x
  3. Step 3: Cross multiply
    8,247x = 11,380.90 × 4,935
  4. Step 4: Simplify right side
    8,247x = 56,164,741.50
  5. Step 5: Solve for x
    x = 56,164,741.50/8,247
  6. Step 6: Final answer
    x = 6,810.32

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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.