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Finding the Fourth Proportional to 7,732.44, 10,666.62 and 5,370.48

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Solution

The fourth proportional to 7,732.44, 10,666.62 and 5,370.48 is: 7,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.44 : 10,666.62 = 5,370.48 : x
  2. Step 2: Convert to fraction form
    7,732.44/10,666.62 = 5,370.48/x
  3. Step 3: Cross multiply
    7,732.44x = 10,666.62 × 5,370.48
  4. Step 4: Simplify right side
    7,732.44x = 57,284,869.38
  5. Step 5: Solve for x
    x = 57,284,869.38/7,732.44
  6. Step 6: Final answer
    x = 7,408.38

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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.