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Finding the Fourth Proportional to 8,575.20, 12,863.40 and 3,644.28

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Solution

The fourth proportional to 8,575.20, 12,863.40 and 3,644.28 is: 5,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.20 : 12,863.40 = 3,644.28 : x
  2. Step 2: Convert to fraction form
    8,575.20/12,863.40 = 3,644.28/x
  3. Step 3: Cross multiply
    8,575.20x = 12,863.40 × 3,644.28
  4. Step 4: Simplify right side
    8,575.20x = 46,877,831.35
  5. Step 5: Solve for x
    x = 46,877,831.35/8,575.20
  6. Step 6: Final answer
    x = 5,466.67

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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.