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Finding the Fourth Proportional to 11,364.30, 17,046.19 and 3,044.31

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Solution

The fourth proportional to 11,364.30, 17,046.19 and 3,044.31 is: 4,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.30 : 17,046.19 = 3,044.31 : x
  2. Step 2: Convert to fraction form
    11,364.30/17,046.19 = 3,044.31/x
  3. Step 3: Cross multiply
    11,364.30x = 17,046.19 × 3,044.31
  4. Step 4: Simplify right side
    11,364.30x = 51,893,886.68
  5. Step 5: Solve for x
    x = 51,893,886.68/11,364.30
  6. Step 6: Final answer
    x = 4,566.40

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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.