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Finding the Fourth Proportional to 11,460.58, 17,189.50 and 3,141.32

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Solution

The fourth proportional to 11,460.58, 17,189.50 and 3,141.32 is: 4,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.58 : 17,189.50 = 3,141.32 : x
  2. Step 2: Convert to fraction form
    11,460.58/17,189.50 = 3,141.32/x
  3. Step 3: Cross multiply
    11,460.58x = 17,189.50 × 3,141.32
  4. Step 4: Simplify right side
    11,460.58x = 53,997,720.14
  5. Step 5: Solve for x
    x = 53,997,720.14/11,460.58
  6. Step 6: Final answer
    x = 4,711.60

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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.