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Finding the Fourth Proportional to 7,818.46, 11,729.00 and 3,438.99

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Solution

The fourth proportional to 7,818.46, 11,729.00 and 3,438.99 is: 5,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.46 : 11,729.00 = 3,438.99 : x
  2. Step 2: Convert to fraction form
    7,818.46/11,729.00 = 3,438.99/x
  3. Step 3: Cross multiply
    7,818.46x = 11,729.00 × 3,438.99
  4. Step 4: Simplify right side
    7,818.46x = 40,335,922.31
  5. Step 5: Solve for x
    x = 40,335,922.31/7,818.46
  6. Step 6: Final answer
    x = 5,159.06

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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.