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Finding the Fourth Proportional to 11,717.20, 17,575.74 and 6,783.64

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Solution

The fourth proportional to 11,717.20, 17,575.74 and 6,783.64 is: 10,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.20 : 17,575.74 = 6,783.64 : x
  2. Step 2: Convert to fraction form
    11,717.20/17,575.74 = 6,783.64/x
  3. Step 3: Cross multiply
    11,717.20x = 17,575.74 × 6,783.64
  4. Step 4: Simplify right side
    11,717.20x = 119,227,492.89
  5. Step 5: Solve for x
    x = 119,227,492.89/11,717.20
  6. Step 6: Final answer
    x = 10,175.43

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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.