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Finding the Fourth Proportional to 8,072.63, 11,144.79 and 5,242.53

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Solution

The fourth proportional to 8,072.63, 11,144.79 and 5,242.53 is: 7,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.63 : 11,144.79 = 5,242.53 : x
  2. Step 2: Convert to fraction form
    8,072.63/11,144.79 = 5,242.53/x
  3. Step 3: Cross multiply
    8,072.63x = 11,144.79 × 5,242.53
  4. Step 4: Simplify right side
    8,072.63x = 58,426,895.92
  5. Step 5: Solve for x
    x = 58,426,895.92/8,072.63
  6. Step 6: Final answer
    x = 7,237.66

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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.