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Finding the Fourth Proportional to 7,193.28, 9,926.05 and 5,305.89

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Solution

The fourth proportional to 7,193.28, 9,926.05 and 5,305.89 is: 7,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.28 : 9,926.05 = 5,305.89 : x
  2. Step 2: Convert to fraction form
    7,193.28/9,926.05 = 5,305.89/x
  3. Step 3: Cross multiply
    7,193.28x = 9,926.05 × 5,305.89
  4. Step 4: Simplify right side
    7,193.28x = 52,666,529.43
  5. Step 5: Solve for x
    x = 52,666,529.43/7,193.28
  6. Step 6: Final answer
    x = 7,321.63

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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.