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Finding the Fourth Proportional to 8,256.96, 11,397.60 and 5,463.36

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Solution

The fourth proportional to 8,256.96, 11,397.60 and 5,463.36 is: 7,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.96 : 11,397.60 = 5,463.36 : x
  2. Step 2: Convert to fraction form
    8,256.96/11,397.60 = 5,463.36/x
  3. Step 3: Cross multiply
    8,256.96x = 11,397.60 × 5,463.36
  4. Step 4: Simplify right side
    8,256.96x = 62,269,191.94
  5. Step 5: Solve for x
    x = 62,269,191.94/8,256.96
  6. Step 6: Final answer
    x = 7,541.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.