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Finding the Fourth Proportional to 8,004.48, 11,993.52 and 4,920

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Solution

The fourth proportional to 8,004.48, 11,993.52 and 4,920 is: 7,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.48 : 11,993.52 = 4,920 : x
  2. Step 2: Convert to fraction form
    8,004.48/11,993.52 = 4,920/x
  3. Step 3: Cross multiply
    8,004.48x = 11,993.52 × 4,920
  4. Step 4: Simplify right side
    8,004.48x = 59,008,118.40
  5. Step 5: Solve for x
    x = 59,008,118.40/8,004.48
  6. Step 6: Final answer
    x = 7,371.89

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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.