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Finding the Fourth Proportional to 10,003.88, 13,804.56 and 5,527.82

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Solution

The fourth proportional to 10,003.88, 13,804.56 and 5,527.82 is: 7,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.88 : 13,804.56 = 5,527.82 : x
  2. Step 2: Convert to fraction form
    10,003.88/13,804.56 = 5,527.82/x
  3. Step 3: Cross multiply
    10,003.88x = 13,804.56 × 5,527.82
  4. Step 4: Simplify right side
    10,003.88x = 76,309,122.86
  5. Step 5: Solve for x
    x = 76,309,122.86/10,003.88
  6. Step 6: Final answer
    x = 7,627.95

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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.