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Finding the Fourth Proportional to 10,785.68, 16,180.95 and 4,213.74

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Solution

The fourth proportional to 10,785.68, 16,180.95 and 4,213.74 is: 6,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.68 : 16,180.95 = 4,213.74 : x
  2. Step 2: Convert to fraction form
    10,785.68/16,180.95 = 4,213.74/x
  3. Step 3: Cross multiply
    10,785.68x = 16,180.95 × 4,213.74
  4. Step 4: Simplify right side
    10,785.68x = 68,182,316.25
  5. Step 5: Solve for x
    x = 68,182,316.25/10,785.68
  6. Step 6: Final answer
    x = 6,321.56

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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.