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Finding the Fourth Proportional to 8,839.76, 12,193.80 and 5,522

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Solution

The fourth proportional to 8,839.76, 12,193.80 and 5,522 is: 7,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.76 : 12,193.80 = 5,522 : x
  2. Step 2: Convert to fraction form
    8,839.76/12,193.80 = 5,522/x
  3. Step 3: Cross multiply
    8,839.76x = 12,193.80 × 5,522
  4. Step 4: Simplify right side
    8,839.76x = 67,334,163.60
  5. Step 5: Solve for x
    x = 67,334,163.60/8,839.76
  6. Step 6: Final answer
    x = 7,617.19

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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.