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Finding the Fourth Proportional to 11,847.56, 17,752.62 and 7,680.20

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Solution

The fourth proportional to 11,847.56, 17,752.62 and 7,680.20 is: 11,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.56 : 17,752.62 = 7,680.20 : x
  2. Step 2: Convert to fraction form
    11,847.56/17,752.62 = 7,680.20/x
  3. Step 3: Cross multiply
    11,847.56x = 17,752.62 × 7,680.20
  4. Step 4: Simplify right side
    11,847.56x = 136,343,672.12
  5. Step 5: Solve for x
    x = 136,343,672.12/11,847.56
  6. Step 6: Final answer
    x = 11,508.16

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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.