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Finding the Fourth Proportional to 7,808.47, 11,714.76 and 2,262.33

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Solution

The fourth proportional to 7,808.47, 11,714.76 and 2,262.33 is: 3,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.47 : 11,714.76 = 2,262.33 : x
  2. Step 2: Convert to fraction form
    7,808.47/11,714.76 = 2,262.33/x
  3. Step 3: Cross multiply
    7,808.47x = 11,714.76 × 2,262.33
  4. Step 4: Simplify right side
    7,808.47x = 26,502,652.99
  5. Step 5: Solve for x
    x = 26,502,652.99/7,808.47
  6. Step 6: Final answer
    x = 3,394.09

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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.