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Finding the Fourth Proportional to 7,932, 10,945.73 and 4,346.30

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Solution

The fourth proportional to 7,932, 10,945.73 and 4,346.30 is: 5,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932 : 10,945.73 = 4,346.30 : x
  2. Step 2: Convert to fraction form
    7,932/10,945.73 = 4,346.30/x
  3. Step 3: Cross multiply
    7,932x = 10,945.73 × 4,346.30
  4. Step 4: Simplify right side
    7,932x = 47,573,349.84
  5. Step 5: Solve for x
    x = 47,573,349.84/7,932
  6. Step 6: Final answer
    x = 5,997.65

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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.