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Finding the Fourth Proportional to 10,785.65, 16,184.64 and 5,855.69

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Solution

The fourth proportional to 10,785.65, 16,184.64 and 5,855.69 is: 8,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.65 : 16,184.64 = 5,855.69 : x
  2. Step 2: Convert to fraction form
    10,785.65/16,184.64 = 5,855.69/x
  3. Step 3: Cross multiply
    10,785.65x = 16,184.64 × 5,855.69
  4. Step 4: Simplify right side
    10,785.65x = 94,772,153.68
  5. Step 5: Solve for x
    x = 94,772,153.68/10,785.65
  6. Step 6: Final answer
    x = 8,786.88

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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.