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Finding the Fourth Proportional to 10,365.44, 15,539.64 and 4,122.78

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Solution

The fourth proportional to 10,365.44, 15,539.64 and 4,122.78 is: 6,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.44 : 15,539.64 = 4,122.78 : x
  2. Step 2: Convert to fraction form
    10,365.44/15,539.64 = 4,122.78/x
  3. Step 3: Cross multiply
    10,365.44x = 15,539.64 × 4,122.78
  4. Step 4: Simplify right side
    10,365.44x = 64,066,517.00
  5. Step 5: Solve for x
    x = 64,066,517.00/10,365.44
  6. Step 6: Final answer
    x = 6,180.78

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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.