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Finding the Fourth Proportional to 7,945.96, 10,965.94 and 4,588.92

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Solution

The fourth proportional to 7,945.96, 10,965.94 and 4,588.92 is: 6,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.96 : 10,965.94 = 4,588.92 : x
  2. Step 2: Convert to fraction form
    7,945.96/10,965.94 = 4,588.92/x
  3. Step 3: Cross multiply
    7,945.96x = 10,965.94 × 4,588.92
  4. Step 4: Simplify right side
    7,945.96x = 50,321,821.38
  5. Step 5: Solve for x
    x = 50,321,821.38/7,945.96
  6. Step 6: Final answer
    x = 6,333.01

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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.