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Finding the Fourth Proportional to 7,763.77, 10,714.02 and 4,619.75

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Solution

The fourth proportional to 7,763.77, 10,714.02 and 4,619.75 is: 6,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.77 : 10,714.02 = 4,619.75 : x
  2. Step 2: Convert to fraction form
    7,763.77/10,714.02 = 4,619.75/x
  3. Step 3: Cross multiply
    7,763.77x = 10,714.02 × 4,619.75
  4. Step 4: Simplify right side
    7,763.77x = 49,496,093.90
  5. Step 5: Solve for x
    x = 49,496,093.90/7,763.77
  6. Step 6: Final answer
    x = 6,375.27

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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.