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Finding the Fourth Proportional to 10,571.86, 15,857.94 and 5,025.77

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Solution

The fourth proportional to 10,571.86, 15,857.94 and 5,025.77 is: 7,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.86 : 15,857.94 = 5,025.77 : x
  2. Step 2: Convert to fraction form
    10,571.86/15,857.94 = 5,025.77/x
  3. Step 3: Cross multiply
    10,571.86x = 15,857.94 × 5,025.77
  4. Step 4: Simplify right side
    10,571.86x = 79,698,359.11
  5. Step 5: Solve for x
    x = 79,698,359.11/10,571.86
  6. Step 6: Final answer
    x = 7,538.73

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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.