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Finding the Fourth Proportional to 8,279.10, 12,418.64 and 2,123.10

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Solution

The fourth proportional to 8,279.10, 12,418.64 and 2,123.10 is: 3,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.10 : 12,418.64 = 2,123.10 : x
  2. Step 2: Convert to fraction form
    8,279.10/12,418.64 = 2,123.10/x
  3. Step 3: Cross multiply
    8,279.10x = 12,418.64 × 2,123.10
  4. Step 4: Simplify right side
    8,279.10x = 26,366,014.58
  5. Step 5: Solve for x
    x = 26,366,014.58/8,279.10
  6. Step 6: Final answer
    x = 3,184.65

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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.