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Finding the Fourth Proportional to 11,890.20, 17,831.10 and 4,097.20

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Solution

The fourth proportional to 11,890.20, 17,831.10 and 4,097.20 is: 6,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.20 : 17,831.10 = 4,097.20 : x
  2. Step 2: Convert to fraction form
    11,890.20/17,831.10 = 4,097.20/x
  3. Step 3: Cross multiply
    11,890.20x = 17,831.10 × 4,097.20
  4. Step 4: Simplify right side
    11,890.20x = 73,057,582.92
  5. Step 5: Solve for x
    x = 73,057,582.92/11,890.20
  6. Step 6: Final answer
    x = 6,144.35

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