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Finding the Fourth Proportional to 8,285.38, 12,419.36 and 4,062.80

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Solution

The fourth proportional to 8,285.38, 12,419.36 and 4,062.80 is: 6,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.38 : 12,419.36 = 4,062.80 : x
  2. Step 2: Convert to fraction form
    8,285.38/12,419.36 = 4,062.80/x
  3. Step 3: Cross multiply
    8,285.38x = 12,419.36 × 4,062.80
  4. Step 4: Simplify right side
    8,285.38x = 50,457,417.01
  5. Step 5: Solve for x
    x = 50,457,417.01/8,285.38
  6. Step 6: Final answer
    x = 6,089.94

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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.