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Finding the Fourth Proportional to 7,987.60, 11,023.22 and 4,450.82

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Solution

The fourth proportional to 7,987.60, 11,023.22 and 4,450.82 is: 6,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.60 : 11,023.22 = 4,450.82 : x
  2. Step 2: Convert to fraction form
    7,987.60/11,023.22 = 4,450.82/x
  3. Step 3: Cross multiply
    7,987.60x = 11,023.22 × 4,450.82
  4. Step 4: Simplify right side
    7,987.60x = 49,062,368.04
  5. Step 5: Solve for x
    x = 49,062,368.04/7,987.60
  6. Step 6: Final answer
    x = 6,142.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.