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Finding the Fourth Proportional to 8,072.50, 11,144.62 and 5,242.41

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Solution

The fourth proportional to 8,072.50, 11,144.62 and 5,242.41 is: 7,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.50 : 11,144.62 = 5,242.41 : x
  2. Step 2: Convert to fraction form
    8,072.50/11,144.62 = 5,242.41/x
  3. Step 3: Cross multiply
    8,072.50x = 11,144.62 × 5,242.41
  4. Step 4: Simplify right side
    8,072.50x = 58,424,598.51
  5. Step 5: Solve for x
    x = 58,424,598.51/8,072.50
  6. Step 6: Final answer
    x = 7,237.49

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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.