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Finding the Fourth Proportional to 12,380.05, 17,084.71 and 7,597.60

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Solution

The fourth proportional to 12,380.05, 17,084.71 and 7,597.60 is: 10,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.05 : 17,084.71 = 7,597.60 : x
  2. Step 2: Convert to fraction form
    12,380.05/17,084.71 = 7,597.60/x
  3. Step 3: Cross multiply
    12,380.05x = 17,084.71 × 7,597.60
  4. Step 4: Simplify right side
    12,380.05x = 129,802,796.83
  5. Step 5: Solve for x
    x = 129,802,796.83/12,380.05
  6. Step 6: Final answer
    x = 10,484.83

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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.