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Finding the Fourth Proportional to 7,808.60, 11,714.76 and 2,262.08

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Solution

The fourth proportional to 7,808.60, 11,714.76 and 2,262.08 is: 3,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.60 : 11,714.76 = 2,262.08 : x
  2. Step 2: Convert to fraction form
    7,808.60/11,714.76 = 2,262.08/x
  3. Step 3: Cross multiply
    7,808.60x = 11,714.76 × 2,262.08
  4. Step 4: Simplify right side
    7,808.60x = 26,499,724.30
  5. Step 5: Solve for x
    x = 26,499,724.30/7,808.60
  6. Step 6: Final answer
    x = 3,393.66

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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.