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Finding the Fourth Proportional to 10,842.64, 16,269.42 and 4,273.54

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Solution

The fourth proportional to 10,842.64, 16,269.42 and 4,273.54 is: 6,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.64 : 16,269.42 = 4,273.54 : x
  2. Step 2: Convert to fraction form
    10,842.64/16,269.42 = 4,273.54/x
  3. Step 3: Cross multiply
    10,842.64x = 16,269.42 × 4,273.54
  4. Step 4: Simplify right side
    10,842.64x = 69,528,017.15
  5. Step 5: Solve for x
    x = 69,528,017.15/10,842.64
  6. Step 6: Final answer
    x = 6,412.46

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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.