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Finding the Fourth Proportional to 7,714.16, 11,572.32 and 2,518.72

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Solution

The fourth proportional to 7,714.16, 11,572.32 and 2,518.72 is: 3,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.16 : 11,572.32 = 2,518.72 : x
  2. Step 2: Convert to fraction form
    7,714.16/11,572.32 = 2,518.72/x
  3. Step 3: Cross multiply
    7,714.16x = 11,572.32 × 2,518.72
  4. Step 4: Simplify right side
    7,714.16x = 29,147,433.83
  5. Step 5: Solve for x
    x = 29,147,433.83/7,714.16
  6. Step 6: Final answer
    x = 3,778.43

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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.