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Finding the Fourth Proportional to 8,068, 11,133.84 and 4,756

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Solution

The fourth proportional to 8,068, 11,133.84 and 4,756 is: 6,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068 : 11,133.84 = 4,756 : x
  2. Step 2: Convert to fraction form
    8,068/11,133.84 = 4,756/x
  3. Step 3: Cross multiply
    8,068x = 11,133.84 × 4,756
  4. Step 4: Simplify right side
    8,068x = 52,952,543.04
  5. Step 5: Solve for x
    x = 52,952,543.04/8,068
  6. Step 6: Final answer
    x = 6,563.28

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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.