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Finding the Fourth Proportional to 10,719.81, 14,794.02 and 6,004.38

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Solution

The fourth proportional to 10,719.81, 14,794.02 and 6,004.38 is: 8,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.81 : 14,794.02 = 6,004.38 : x
  2. Step 2: Convert to fraction form
    10,719.81/14,794.02 = 6,004.38/x
  3. Step 3: Cross multiply
    10,719.81x = 14,794.02 × 6,004.38
  4. Step 4: Simplify right side
    10,719.81x = 88,828,917.81
  5. Step 5: Solve for x
    x = 88,828,917.81/10,719.81
  6. Step 6: Final answer
    x = 8,286.43

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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.