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Finding the Fourth Proportional to 8,463.71, 11,667.75 and 5,938.00

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Solution

The fourth proportional to 8,463.71, 11,667.75 and 5,938.00 is: 8,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.71 : 11,667.75 = 5,938.00 : x
  2. Step 2: Convert to fraction form
    8,463.71/11,667.75 = 5,938.00/x
  3. Step 3: Cross multiply
    8,463.71x = 11,667.75 × 5,938.00
  4. Step 4: Simplify right side
    8,463.71x = 69,283,081.46
  5. Step 5: Solve for x
    x = 69,283,081.46/8,463.71
  6. Step 6: Final answer
    x = 8,185.90

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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.