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Finding the Fourth Proportional to 7,809.90, 11,714.85 and 5,632.44

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Solution

The fourth proportional to 7,809.90, 11,714.85 and 5,632.44 is: 8,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.90 : 11,714.85 = 5,632.44 : x
  2. Step 2: Convert to fraction form
    7,809.90/11,714.85 = 5,632.44/x
  3. Step 3: Cross multiply
    7,809.90x = 11,714.85 × 5,632.44
  4. Step 4: Simplify right side
    7,809.90x = 65,983,189.73
  5. Step 5: Solve for x
    x = 65,983,189.73/7,809.90
  6. Step 6: Final answer
    x = 8,448.66

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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.