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Finding the Fourth Proportional to 8,422.76, 12,631.98 and 2,498.27

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Solution

The fourth proportional to 8,422.76, 12,631.98 and 2,498.27 is: 3,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.76 : 12,631.98 = 2,498.27 : x
  2. Step 2: Convert to fraction form
    8,422.76/12,631.98 = 2,498.27/x
  3. Step 3: Cross multiply
    8,422.76x = 12,631.98 × 2,498.27
  4. Step 4: Simplify right side
    8,422.76x = 31,558,033.51
  5. Step 5: Solve for x
    x = 31,558,033.51/8,422.76
  6. Step 6: Final answer
    x = 3,746.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.