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Finding the Fourth Proportional to 11,833.38, 16,332.93 and 7,116.75

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Solution

The fourth proportional to 11,833.38, 16,332.93 and 7,116.75 is: 9,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.38 : 16,332.93 = 7,116.75 : x
  2. Step 2: Convert to fraction form
    11,833.38/16,332.93 = 7,116.75/x
  3. Step 3: Cross multiply
    11,833.38x = 16,332.93 × 7,116.75
  4. Step 4: Simplify right side
    11,833.38x = 116,237,379.58
  5. Step 5: Solve for x
    x = 116,237,379.58/11,833.38
  6. Step 6: Final answer
    x = 9,822.84

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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.