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Finding the Fourth Proportional to 10,067.37, 13,894.76 and 7,527.87

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Solution

The fourth proportional to 10,067.37, 13,894.76 and 7,527.87 is: 10,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.37 : 13,894.76 = 7,527.87 : x
  2. Step 2: Convert to fraction form
    10,067.37/13,894.76 = 7,527.87/x
  3. Step 3: Cross multiply
    10,067.37x = 13,894.76 × 7,527.87
  4. Step 4: Simplify right side
    10,067.37x = 104,597,909.32
  5. Step 5: Solve for x
    x = 104,597,909.32/10,067.37
  6. Step 6: Final answer
    x = 10,389.79

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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.