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Finding the Fourth Proportional to 7,246.34, 10,864.83 and 2,314.34

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Solution

The fourth proportional to 7,246.34, 10,864.83 and 2,314.34 is: 3,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.34 : 10,864.83 = 2,314.34 : x
  2. Step 2: Convert to fraction form
    7,246.34/10,864.83 = 2,314.34/x
  3. Step 3: Cross multiply
    7,246.34x = 10,864.83 × 2,314.34
  4. Step 4: Simplify right side
    7,246.34x = 25,144,910.66
  5. Step 5: Solve for x
    x = 25,144,910.66/7,246.34
  6. Step 6: Final answer
    x = 3,470.02

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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.