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Finding the Fourth Proportional to 7,809.60, 11,714 and 2,878.83

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Solution

The fourth proportional to 7,809.60, 11,714 and 2,878.83 is: 4,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.60 : 11,714 = 2,878.83 : x
  2. Step 2: Convert to fraction form
    7,809.60/11,714 = 2,878.83/x
  3. Step 3: Cross multiply
    7,809.60x = 11,714 × 2,878.83
  4. Step 4: Simplify right side
    7,809.60x = 33,722,614.62
  5. Step 5: Solve for x
    x = 33,722,614.62/7,809.60
  6. Step 6: Final answer
    x = 4,318.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.