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Finding the Fourth Proportional to 8,285.45, 12,419.16 and 4,128.53

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Solution

The fourth proportional to 8,285.45, 12,419.16 and 4,128.53 is: 6,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.45 : 12,419.16 = 4,128.53 : x
  2. Step 2: Convert to fraction form
    8,285.45/12,419.16 = 4,128.53/x
  3. Step 3: Cross multiply
    8,285.45x = 12,419.16 × 4,128.53
  4. Step 4: Simplify right side
    8,285.45x = 51,272,874.63
  5. Step 5: Solve for x
    x = 51,272,874.63/8,285.45
  6. Step 6: Final answer
    x = 6,188.30

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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.