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Finding the Fourth Proportional to 11,470.98, 17,203.35 and 3,149.03

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Solution

The fourth proportional to 11,470.98, 17,203.35 and 3,149.03 is: 4,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.98 : 17,203.35 = 3,149.03 : x
  2. Step 2: Convert to fraction form
    11,470.98/17,203.35 = 3,149.03/x
  3. Step 3: Cross multiply
    11,470.98x = 17,203.35 × 3,149.03
  4. Step 4: Simplify right side
    11,470.98x = 54,173,779.23
  5. Step 5: Solve for x
    x = 54,173,779.23/11,470.98
  6. Step 6: Final answer
    x = 4,722.68

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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.