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Finding the Fourth Proportional to 11,902.60, 16,417.38 and 7,180.84

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Solution

The fourth proportional to 11,902.60, 16,417.38 and 7,180.84 is: 9,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.60 : 16,417.38 = 7,180.84 : x
  2. Step 2: Convert to fraction form
    11,902.60/16,417.38 = 7,180.84/x
  3. Step 3: Cross multiply
    11,902.60x = 16,417.38 × 7,180.84
  4. Step 4: Simplify right side
    11,902.60x = 117,890,579.00
  5. Step 5: Solve for x
    x = 117,890,579.00/11,902.60
  6. Step 6: Final answer
    x = 9,904.61

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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.