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Finding the Fourth Proportional to 7,983.64, 12,021.91 and 5,918.32

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Solution

The fourth proportional to 7,983.64, 12,021.91 and 5,918.32 is: 8,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.64 : 12,021.91 = 5,918.32 : x
  2. Step 2: Convert to fraction form
    7,983.64/12,021.91 = 5,918.32/x
  3. Step 3: Cross multiply
    7,983.64x = 12,021.91 × 5,918.32
  4. Step 4: Simplify right side
    7,983.64x = 71,149,510.39
  5. Step 5: Solve for x
    x = 71,149,510.39/7,983.64
  6. Step 6: Final answer
    x = 8,911.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.