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Finding the Fourth Proportional to 10,610.46, 15,923.97 and 7,346.43

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Solution

The fourth proportional to 10,610.46, 15,923.97 and 7,346.43 is: 11,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.46 : 15,923.97 = 7,346.43 : x
  2. Step 2: Convert to fraction form
    10,610.46/15,923.97 = 7,346.43/x
  3. Step 3: Cross multiply
    10,610.46x = 15,923.97 × 7,346.43
  4. Step 4: Simplify right side
    10,610.46x = 116,984,330.93
  5. Step 5: Solve for x
    x = 116,984,330.93/10,610.46
  6. Step 6: Final answer
    x = 11,025.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.