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Finding the Fourth Proportional to 11,831.36, 16,341.81 and 8,860.46

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Solution

The fourth proportional to 11,831.36, 16,341.81 and 8,860.46 is: 12,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.36 : 16,341.81 = 8,860.46 : x
  2. Step 2: Convert to fraction form
    11,831.36/16,341.81 = 8,860.46/x
  3. Step 3: Cross multiply
    11,831.36x = 16,341.81 × 8,860.46
  4. Step 4: Simplify right side
    11,831.36x = 144,795,953.83
  5. Step 5: Solve for x
    x = 144,795,953.83/11,831.36
  6. Step 6: Final answer
    x = 12,238.32

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Why These Related Problems?

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