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Finding the Fourth Proportional to 8,454.68, 12,683.62 and 2,609.93

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Solution

The fourth proportional to 8,454.68, 12,683.62 and 2,609.93 is: 3,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.68 : 12,683.62 = 2,609.93 : x
  2. Step 2: Convert to fraction form
    8,454.68/12,683.62 = 2,609.93/x
  3. Step 3: Cross multiply
    8,454.68x = 12,683.62 × 2,609.93
  4. Step 4: Simplify right side
    8,454.68x = 33,103,283.88
  5. Step 5: Solve for x
    x = 33,103,283.88/8,454.68
  6. Step 6: Final answer
    x = 3,915.38

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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.