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Finding the Fourth Proportional to 8,308.14, 11,463.92 and 4,950.87

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Solution

The fourth proportional to 8,308.14, 11,463.92 and 4,950.87 is: 6,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.14 : 11,463.92 = 4,950.87 : x
  2. Step 2: Convert to fraction form
    8,308.14/11,463.92 = 4,950.87/x
  3. Step 3: Cross multiply
    8,308.14x = 11,463.92 × 4,950.87
  4. Step 4: Simplify right side
    8,308.14x = 56,756,295.54
  5. Step 5: Solve for x
    x = 56,756,295.54/8,308.14
  6. Step 6: Final answer
    x = 6,831.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.