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Finding the Fourth Proportional to 7,714.89, 11,572.88 and 3,818.25

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Solution

The fourth proportional to 7,714.89, 11,572.88 and 3,818.25 is: 5,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.89 : 11,572.88 = 3,818.25 : x
  2. Step 2: Convert to fraction form
    7,714.89/11,572.88 = 3,818.25/x
  3. Step 3: Cross multiply
    7,714.89x = 11,572.88 × 3,818.25
  4. Step 4: Simplify right side
    7,714.89x = 44,188,129.97
  5. Step 5: Solve for x
    x = 44,188,129.97/7,714.89
  6. Step 6: Final answer
    x = 5,727.64

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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.