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Finding the Fourth Proportional to 6,920.36, 10,374.36 and 2,534.84

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Solution

The fourth proportional to 6,920.36, 10,374.36 and 2,534.84 is: 3,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.36 : 10,374.36 = 2,534.84 : x
  2. Step 2: Convert to fraction form
    6,920.36/10,374.36 = 2,534.84/x
  3. Step 3: Cross multiply
    6,920.36x = 10,374.36 × 2,534.84
  4. Step 4: Simplify right side
    6,920.36x = 26,297,342.70
  5. Step 5: Solve for x
    x = 26,297,342.70/6,920.36
  6. Step 6: Final answer
    x = 3,800.00

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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.