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Finding the Fourth Proportional to 10,003.86, 13,804.74 and 5,527.44

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Solution

The fourth proportional to 10,003.86, 13,804.74 and 5,527.44 is: 7,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.86 : 13,804.74 = 5,527.44 : x
  2. Step 2: Convert to fraction form
    10,003.86/13,804.74 = 5,527.44/x
  3. Step 3: Cross multiply
    10,003.86x = 13,804.74 × 5,527.44
  4. Step 4: Simplify right side
    10,003.86x = 76,304,872.07
  5. Step 5: Solve for x
    x = 76,304,872.07/10,003.86
  6. Step 6: Final answer
    x = 7,627.54

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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.