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Finding the Fourth Proportional to 10,785.16, 16,166.78 and 8,182.63

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Solution

The fourth proportional to 10,785.16, 16,166.78 and 8,182.63 is: 12,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.16 : 16,166.78 = 8,182.63 : x
  2. Step 2: Convert to fraction form
    10,785.16/16,166.78 = 8,182.63/x
  3. Step 3: Cross multiply
    10,785.16x = 16,166.78 × 8,182.63
  4. Step 4: Simplify right side
    10,785.16x = 132,286,657.28
  5. Step 5: Solve for x
    x = 132,286,657.28/10,785.16
  6. Step 6: Final answer
    x = 12,265.62

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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.