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Finding the Fourth Proportional to 10,406, 15,610.54 and 3,831.70

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Solution

The fourth proportional to 10,406, 15,610.54 and 3,831.70 is: 5,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406 : 15,610.54 = 3,831.70 : x
  2. Step 2: Convert to fraction form
    10,406/15,610.54 = 3,831.70/x
  3. Step 3: Cross multiply
    10,406x = 15,610.54 × 3,831.70
  4. Step 4: Simplify right side
    10,406x = 59,814,906.12
  5. Step 5: Solve for x
    x = 59,814,906.12/10,406
  6. Step 6: Final answer
    x = 5,748.12

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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.