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Finding the Fourth Proportional to 8,420.48, 12,599.04 and 7,976

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Solution

The fourth proportional to 8,420.48, 12,599.04 and 7,976 is: 11,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.48 : 12,599.04 = 7,976 : x
  2. Step 2: Convert to fraction form
    8,420.48/12,599.04 = 7,976/x
  3. Step 3: Cross multiply
    8,420.48x = 12,599.04 × 7,976
  4. Step 4: Simplify right side
    8,420.48x = 100,489,943.04
  5. Step 5: Solve for x
    x = 100,489,943.04/8,420.48
  6. Step 6: Final answer
    x = 11,933.99

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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.