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Finding the Fourth Proportional to 7,817.58, 11,729.07 and 3,438.18

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Solution

The fourth proportional to 7,817.58, 11,729.07 and 3,438.18 is: 5,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.58 : 11,729.07 = 3,438.18 : x
  2. Step 2: Convert to fraction form
    7,817.58/11,729.07 = 3,438.18/x
  3. Step 3: Cross multiply
    7,817.58x = 11,729.07 × 3,438.18
  4. Step 4: Simplify right side
    7,817.58x = 40,326,653.89
  5. Step 5: Solve for x
    x = 40,326,653.89/7,817.58
  6. Step 6: Final answer
    x = 5,158.46

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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.