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Finding the Fourth Proportional to 11,785.65, 17,676.32 and 4,765.29

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Solution

The fourth proportional to 11,785.65, 17,676.32 and 4,765.29 is: 7,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.65 : 17,676.32 = 4,765.29 : x
  2. Step 2: Convert to fraction form
    11,785.65/17,676.32 = 4,765.29/x
  3. Step 3: Cross multiply
    11,785.65x = 17,676.32 × 4,765.29
  4. Step 4: Simplify right side
    11,785.65x = 84,232,767.11
  5. Step 5: Solve for x
    x = 84,232,767.11/11,785.65
  6. Step 6: Final answer
    x = 7,147.06

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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.