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Finding the Fourth Proportional to 6,842.56, 10,251.60 and 4,528.48

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Solution

The fourth proportional to 6,842.56, 10,251.60 and 4,528.48 is: 6,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.56 : 10,251.60 = 4,528.48 : x
  2. Step 2: Convert to fraction form
    6,842.56/10,251.60 = 4,528.48/x
  3. Step 3: Cross multiply
    6,842.56x = 10,251.60 × 4,528.48
  4. Step 4: Simplify right side
    6,842.56x = 46,424,165.57
  5. Step 5: Solve for x
    x = 46,424,165.57/6,842.56
  6. Step 6: Final answer
    x = 6,784.62

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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.