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Finding the Fourth Proportional to 7,714.76, 11,572.38 and 3,331.40

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Solution

The fourth proportional to 7,714.76, 11,572.38 and 3,331.40 is: 4,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.76 : 11,572.38 = 3,331.40 : x
  2. Step 2: Convert to fraction form
    7,714.76/11,572.38 = 3,331.40/x
  3. Step 3: Cross multiply
    7,714.76x = 11,572.38 × 3,331.40
  4. Step 4: Simplify right side
    7,714.76x = 38,552,226.73
  5. Step 5: Solve for x
    x = 38,552,226.73/7,714.76
  6. Step 6: Final answer
    x = 4,997.20

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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.