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Finding the Fourth Proportional to 10,465.38, 14,443.11 and 5,750.64

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Solution

The fourth proportional to 10,465.38, 14,443.11 and 5,750.64 is: 7,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.38 : 14,443.11 = 5,750.64 : x
  2. Step 2: Convert to fraction form
    10,465.38/14,443.11 = 5,750.64/x
  3. Step 3: Cross multiply
    10,465.38x = 14,443.11 × 5,750.64
  4. Step 4: Simplify right side
    10,465.38x = 83,057,126.09
  5. Step 5: Solve for x
    x = 83,057,126.09/10,465.38
  6. Step 6: Final answer
    x = 7,936.37

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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.