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Finding the Fourth Proportional to 11,780.10, 17,640.99 and 6,575.04

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Solution

The fourth proportional to 11,780.10, 17,640.99 and 6,575.04 is: 9,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.10 : 17,640.99 = 6,575.04 : x
  2. Step 2: Convert to fraction form
    11,780.10/17,640.99 = 6,575.04/x
  3. Step 3: Cross multiply
    11,780.10x = 17,640.99 × 6,575.04
  4. Step 4: Simplify right side
    11,780.10x = 115,990,214.89
  5. Step 5: Solve for x
    x = 115,990,214.89/11,780.10
  6. Step 6: Final answer
    x = 9,846.28

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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.