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Finding the Fourth Proportional to 8,246.61, 11,371.79 and 5,731.56

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Solution

The fourth proportional to 8,246.61, 11,371.79 and 5,731.56 is: 7,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.61 : 11,371.79 = 5,731.56 : x
  2. Step 2: Convert to fraction form
    8,246.61/11,371.79 = 5,731.56/x
  3. Step 3: Cross multiply
    8,246.61x = 11,371.79 × 5,731.56
  4. Step 4: Simplify right side
    8,246.61x = 65,178,111.02
  5. Step 5: Solve for x
    x = 65,178,111.02/8,246.61
  6. Step 6: Final answer
    x = 7,903.62

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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.