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Finding the Fourth Proportional to 10,842.57, 16,270.83 and 4,269.06

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Solution

The fourth proportional to 10,842.57, 16,270.83 and 4,269.06 is: 6,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.57 : 16,270.83 = 4,269.06 : x
  2. Step 2: Convert to fraction form
    10,842.57/16,270.83 = 4,269.06/x
  3. Step 3: Cross multiply
    10,842.57x = 16,270.83 × 4,269.06
  4. Step 4: Simplify right side
    10,842.57x = 69,461,149.52
  5. Step 5: Solve for x
    x = 69,461,149.52/10,842.57
  6. Step 6: Final answer
    x = 6,406.34

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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.