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Finding the Fourth Proportional to 8,242.81, 11,374.75 and 4,839.36

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Solution

The fourth proportional to 8,242.81, 11,374.75 and 4,839.36 is: 6,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.81 : 11,374.75 = 4,839.36 : x
  2. Step 2: Convert to fraction form
    8,242.81/11,374.75 = 4,839.36/x
  3. Step 3: Cross multiply
    8,242.81x = 11,374.75 × 4,839.36
  4. Step 4: Simplify right side
    8,242.81x = 55,046,429.09
  5. Step 5: Solve for x
    x = 55,046,429.09/8,242.81
  6. Step 6: Final answer
    x = 6,678.12

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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.