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Finding the Fourth Proportional to 11,323.32, 16,991.60 and 4,749

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Solution

The fourth proportional to 11,323.32, 16,991.60 and 4,749 is: 7,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.32 : 16,991.60 = 4,749 : x
  2. Step 2: Convert to fraction form
    11,323.32/16,991.60 = 4,749/x
  3. Step 3: Cross multiply
    11,323.32x = 16,991.60 × 4,749
  4. Step 4: Simplify right side
    11,323.32x = 80,693,108.40
  5. Step 5: Solve for x
    x = 80,693,108.40/11,323.32
  6. Step 6: Final answer
    x = 7,126.28

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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.