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Finding the Fourth Proportional to 8,303.26, 11,456.49 and 4,943.92

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Solution

The fourth proportional to 8,303.26, 11,456.49 and 4,943.92 is: 6,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.26 : 11,456.49 = 4,943.92 : x
  2. Step 2: Convert to fraction form
    8,303.26/11,456.49 = 4,943.92/x
  3. Step 3: Cross multiply
    8,303.26x = 11,456.49 × 4,943.92
  4. Step 4: Simplify right side
    8,303.26x = 56,639,970.04
  5. Step 5: Solve for x
    x = 56,639,970.04/8,303.26
  6. Step 6: Final answer
    x = 6,821.41

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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.