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Finding the Fourth Proportional to 8,351.84, 11,526 and 4,767.86

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Solution

The fourth proportional to 8,351.84, 11,526 and 4,767.86 is: 6,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.84 : 11,526 = 4,767.86 : x
  2. Step 2: Convert to fraction form
    8,351.84/11,526 = 4,767.86/x
  3. Step 3: Cross multiply
    8,351.84x = 11,526 × 4,767.86
  4. Step 4: Simplify right side
    8,351.84x = 54,954,354.36
  5. Step 5: Solve for x
    x = 54,954,354.36/8,351.84
  6. Step 6: Final answer
    x = 6,579.91

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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.