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Finding the Fourth Proportional to 8,276.30, 11,422.94 and 4,918.46

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Solution

The fourth proportional to 8,276.30, 11,422.94 and 4,918.46 is: 6,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.30 : 11,422.94 = 4,918.46 : x
  2. Step 2: Convert to fraction form
    8,276.30/11,422.94 = 4,918.46/x
  3. Step 3: Cross multiply
    8,276.30x = 11,422.94 × 4,918.46
  4. Step 4: Simplify right side
    8,276.30x = 56,183,228.65
  5. Step 5: Solve for x
    x = 56,183,228.65/8,276.30
  6. Step 6: Final answer
    x = 6,788.45

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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.