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Finding the Fourth Proportional to 11,551.92, 17,337.60 and 4,983

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Solution

The fourth proportional to 11,551.92, 17,337.60 and 4,983 is: 7,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.92 : 17,337.60 = 4,983 : x
  2. Step 2: Convert to fraction form
    11,551.92/17,337.60 = 4,983/x
  3. Step 3: Cross multiply
    11,551.92x = 17,337.60 × 4,983
  4. Step 4: Simplify right side
    11,551.92x = 86,393,260.80
  5. Step 5: Solve for x
    x = 86,393,260.80/11,551.92
  6. Step 6: Final answer
    x = 7,478.69

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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.