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Finding the Fourth Proportional to 8,464.74, 12,683.16 and 2,915.07

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Solution

The fourth proportional to 8,464.74, 12,683.16 and 2,915.07 is: 4,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.74 : 12,683.16 = 2,915.07 : x
  2. Step 2: Convert to fraction form
    8,464.74/12,683.16 = 2,915.07/x
  3. Step 3: Cross multiply
    8,464.74x = 12,683.16 × 2,915.07
  4. Step 4: Simplify right side
    8,464.74x = 36,972,299.22
  5. Step 5: Solve for x
    x = 36,972,299.22/8,464.74
  6. Step 6: Final answer
    x = 4,367.80

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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.