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Finding the Fourth Proportional to 11,905.16, 17,860.38 and 3,585.80

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Solution

The fourth proportional to 11,905.16, 17,860.38 and 3,585.80 is: 5,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.16 : 17,860.38 = 3,585.80 : x
  2. Step 2: Convert to fraction form
    11,905.16/17,860.38 = 3,585.80/x
  3. Step 3: Cross multiply
    11,905.16x = 17,860.38 × 3,585.80
  4. Step 4: Simplify right side
    11,905.16x = 64,043,750.60
  5. Step 5: Solve for x
    x = 64,043,750.60/11,905.16
  6. Step 6: Final answer
    x = 5,379.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.