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Finding the Fourth Proportional to 7,808.73, 11,714.12 and 4,111.22

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Solution

The fourth proportional to 7,808.73, 11,714.12 and 4,111.22 is: 6,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.73 : 11,714.12 = 4,111.22 : x
  2. Step 2: Convert to fraction form
    7,808.73/11,714.12 = 4,111.22/x
  3. Step 3: Cross multiply
    7,808.73x = 11,714.12 × 4,111.22
  4. Step 4: Simplify right side
    7,808.73x = 48,159,299.15
  5. Step 5: Solve for x
    x = 48,159,299.15/7,808.73
  6. Step 6: Final answer
    x = 6,167.37

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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.