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Finding the Fourth Proportional to 7,671.13, 11,506.66 and 2,406.55

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Solution

The fourth proportional to 7,671.13, 11,506.66 and 2,406.55 is: 3,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.13 : 11,506.66 = 2,406.55 : x
  2. Step 2: Convert to fraction form
    7,671.13/11,506.66 = 2,406.55/x
  3. Step 3: Cross multiply
    7,671.13x = 11,506.66 × 2,406.55
  4. Step 4: Simplify right side
    7,671.13x = 27,691,352.62
  5. Step 5: Solve for x
    x = 27,691,352.62/7,671.13
  6. Step 6: Final answer
    x = 3,609.81

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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.