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Finding the Fourth Proportional to 11,659.10, 17,488.46 and 2,894.09

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Solution

The fourth proportional to 11,659.10, 17,488.46 and 2,894.09 is: 4,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.10 : 17,488.46 = 2,894.09 : x
  2. Step 2: Convert to fraction form
    11,659.10/17,488.46 = 2,894.09/x
  3. Step 3: Cross multiply
    11,659.10x = 17,488.46 × 2,894.09
  4. Step 4: Simplify right side
    11,659.10x = 50,613,096.99
  5. Step 5: Solve for x
    x = 50,613,096.99/11,659.10
  6. Step 6: Final answer
    x = 4,341.08

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