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Finding the Fourth Proportional to 8,744, 12,066.84 and 5,018

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Solution

The fourth proportional to 8,744, 12,066.84 and 5,018 is: 6,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744 : 12,066.84 = 5,018 : x
  2. Step 2: Convert to fraction form
    8,744/12,066.84 = 5,018/x
  3. Step 3: Cross multiply
    8,744x = 12,066.84 × 5,018
  4. Step 4: Simplify right side
    8,744x = 60,551,403.12
  5. Step 5: Solve for x
    x = 60,551,403.12/8,744
  6. Step 6: Final answer
    x = 6,924.91

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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.