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Finding the Fourth Proportional to 10,669.38, 14,723.74 and 5,953.69

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Solution

The fourth proportional to 10,669.38, 14,723.74 and 5,953.69 is: 8,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.38 : 14,723.74 = 5,953.69 : x
  2. Step 2: Convert to fraction form
    10,669.38/14,723.74 = 5,953.69/x
  3. Step 3: Cross multiply
    10,669.38x = 14,723.74 × 5,953.69
  4. Step 4: Simplify right side
    10,669.38x = 87,660,583.60
  5. Step 5: Solve for x
    x = 87,660,583.60/10,669.38
  6. Step 6: Final answer
    x = 8,216.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.