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Finding the Fourth Proportional to 8,233.68, 11,359.67 and 4,648.21

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Solution

The fourth proportional to 8,233.68, 11,359.67 and 4,648.21 is: 6,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.68 : 11,359.67 = 4,648.21 : x
  2. Step 2: Convert to fraction form
    8,233.68/11,359.67 = 4,648.21/x
  3. Step 3: Cross multiply
    8,233.68x = 11,359.67 × 4,648.21
  4. Step 4: Simplify right side
    8,233.68x = 52,802,125.07
  5. Step 5: Solve for x
    x = 52,802,125.07/8,233.68
  6. Step 6: Final answer
    x = 6,412.95

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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.