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Finding the Fourth Proportional to 7,811.34, 11,713.97 and 2,812.36

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Solution

The fourth proportional to 7,811.34, 11,713.97 and 2,812.36 is: 4,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.34 : 11,713.97 = 2,812.36 : x
  2. Step 2: Convert to fraction form
    7,811.34/11,713.97 = 2,812.36/x
  3. Step 3: Cross multiply
    7,811.34x = 11,713.97 × 2,812.36
  4. Step 4: Simplify right side
    7,811.34x = 32,943,900.67
  5. Step 5: Solve for x
    x = 32,943,900.67/7,811.34
  6. Step 6: Final answer
    x = 4,217.45

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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.