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Finding the Fourth Proportional to 6,893.70, 10,322.31 and 4,080.36

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Solution

The fourth proportional to 6,893.70, 10,322.31 and 4,080.36 is: 6,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.70 : 10,322.31 = 4,080.36 : x
  2. Step 2: Convert to fraction form
    6,893.70/10,322.31 = 4,080.36/x
  3. Step 3: Cross multiply
    6,893.70x = 10,322.31 × 4,080.36
  4. Step 4: Simplify right side
    6,893.70x = 42,118,740.83
  5. Step 5: Solve for x
    x = 42,118,740.83/6,893.70
  6. Step 6: Final answer
    x = 6,109.74

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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.