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Finding the Fourth Proportional to 7,118.69, 10,682.08 and 3,831.71

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Solution

The fourth proportional to 7,118.69, 10,682.08 and 3,831.71 is: 5,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.69 : 10,682.08 = 3,831.71 : x
  2. Step 2: Convert to fraction form
    7,118.69/10,682.08 = 3,831.71/x
  3. Step 3: Cross multiply
    7,118.69x = 10,682.08 × 3,831.71
  4. Step 4: Simplify right side
    7,118.69x = 40,930,569.77
  5. Step 5: Solve for x
    x = 40,930,569.77/7,118.69
  6. Step 6: Final answer
    x = 5,749.74

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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.