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Finding the Fourth Proportional to 8,185.73, 12,281.90 and 3,506.76

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Solution

The fourth proportional to 8,185.73, 12,281.90 and 3,506.76 is: 5,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.73 : 12,281.90 = 3,506.76 : x
  2. Step 2: Convert to fraction form
    8,185.73/12,281.90 = 3,506.76/x
  3. Step 3: Cross multiply
    8,185.73x = 12,281.90 × 3,506.76
  4. Step 4: Simplify right side
    8,185.73x = 43,069,658.11
  5. Step 5: Solve for x
    x = 43,069,658.11/8,185.73
  6. Step 6: Final answer
    x = 5,261.56

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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.