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Finding the Fourth Proportional to 10,745.38, 14,829.69 and 7,215.94

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Solution

The fourth proportional to 10,745.38, 14,829.69 and 7,215.94 is: 9,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.38 : 14,829.69 = 7,215.94 : x
  2. Step 2: Convert to fraction form
    10,745.38/14,829.69 = 7,215.94/x
  3. Step 3: Cross multiply
    10,745.38x = 14,829.69 × 7,215.94
  4. Step 4: Simplify right side
    10,745.38x = 107,010,153.26
  5. Step 5: Solve for x
    x = 107,010,153.26/10,745.38
  6. Step 6: Final answer
    x = 9,958.71

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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.