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Finding the Fourth Proportional to 11,785.12, 17,673.05 and 4,385.53

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Solution

The fourth proportional to 11,785.12, 17,673.05 and 4,385.53 is: 6,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.12 : 17,673.05 = 4,385.53 : x
  2. Step 2: Convert to fraction form
    11,785.12/17,673.05 = 4,385.53/x
  3. Step 3: Cross multiply
    11,785.12x = 17,673.05 × 4,385.53
  4. Step 4: Simplify right side
    11,785.12x = 77,505,657.75
  5. Step 5: Solve for x
    x = 77,505,657.75/11,785.12
  6. Step 6: Final answer
    x = 6,576.57

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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.