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Finding the Fourth Proportional to 7,807.20, 11,714.52 and 3,914.34

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Solution

The fourth proportional to 7,807.20, 11,714.52 and 3,914.34 is: 5,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.20 : 11,714.52 = 3,914.34 : x
  2. Step 2: Convert to fraction form
    7,807.20/11,714.52 = 3,914.34/x
  3. Step 3: Cross multiply
    7,807.20x = 11,714.52 × 3,914.34
  4. Step 4: Simplify right side
    7,807.20x = 45,854,614.22
  5. Step 5: Solve for x
    x = 45,854,614.22/7,807.20
  6. Step 6: Final answer
    x = 5,873.38

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