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Finding the Fourth Proportional to 11,954.53, 16,499.25 and 6,917.88

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Solution

The fourth proportional to 11,954.53, 16,499.25 and 6,917.88 is: 9,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.53 : 16,499.25 = 6,917.88 : x
  2. Step 2: Convert to fraction form
    11,954.53/16,499.25 = 6,917.88/x
  3. Step 3: Cross multiply
    11,954.53x = 16,499.25 × 6,917.88
  4. Step 4: Simplify right side
    11,954.53x = 114,139,831.59
  5. Step 5: Solve for x
    x = 114,139,831.59/11,954.53
  6. Step 6: Final answer
    x = 9,547.83

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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.