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Finding the Fourth Proportional to 8,032.25, 11,993.70 and 7,087.32

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Solution

The fourth proportional to 8,032.25, 11,993.70 and 7,087.32 is: 10,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.25 : 11,993.70 = 7,087.32 : x
  2. Step 2: Convert to fraction form
    8,032.25/11,993.70 = 7,087.32/x
  3. Step 3: Cross multiply
    8,032.25x = 11,993.70 × 7,087.32
  4. Step 4: Simplify right side
    8,032.25x = 85,003,189.88
  5. Step 5: Solve for x
    x = 85,003,189.88/8,032.25
  6. Step 6: Final answer
    x = 10,582.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.