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Finding the Fourth Proportional to 7,809.49, 11,714.84 and 2,262.92

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Solution

The fourth proportional to 7,809.49, 11,714.84 and 2,262.92 is: 3,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.49 : 11,714.84 = 2,262.92 : x
  2. Step 2: Convert to fraction form
    7,809.49/11,714.84 = 2,262.92/x
  3. Step 3: Cross multiply
    7,809.49x = 11,714.84 × 2,262.92
  4. Step 4: Simplify right side
    7,809.49x = 26,509,692.82
  5. Step 5: Solve for x
    x = 26,509,692.82/7,809.49
  6. Step 6: Final answer
    x = 3,394.55

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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.