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Finding the Fourth Proportional to 10,785.68, 16,163.94 and 9,502.64

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Solution

The fourth proportional to 10,785.68, 16,163.94 and 9,502.64 is: 14,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.68 : 16,163.94 = 9,502.64 : x
  2. Step 2: Convert to fraction form
    10,785.68/16,163.94 = 9,502.64/x
  3. Step 3: Cross multiply
    10,785.68x = 16,163.94 × 9,502.64
  4. Step 4: Simplify right side
    10,785.68x = 153,600,102.80
  5. Step 5: Solve for x
    x = 153,600,102.80/10,785.68
  6. Step 6: Final answer
    x = 14,241.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.