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Finding the Fourth Proportional to 7,882.98, 11,824.48 and 5,410.32

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Solution

The fourth proportional to 7,882.98, 11,824.48 and 5,410.32 is: 8,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.98 : 11,824.48 = 5,410.32 : x
  2. Step 2: Convert to fraction form
    7,882.98/11,824.48 = 5,410.32/x
  3. Step 3: Cross multiply
    7,882.98x = 11,824.48 × 5,410.32
  4. Step 4: Simplify right side
    7,882.98x = 63,974,220.63
  5. Step 5: Solve for x
    x = 63,974,220.63/7,882.98
  6. Step 6: Final answer
    x = 8,115.49

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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.