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Finding the Fourth Proportional to 10,782.86, 16,162.94 and 4,208.90

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Solution

The fourth proportional to 10,782.86, 16,162.94 and 4,208.90 is: 6,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.86 : 16,162.94 = 4,208.90 : x
  2. Step 2: Convert to fraction form
    10,782.86/16,162.94 = 4,208.90/x
  3. Step 3: Cross multiply
    10,782.86x = 16,162.94 × 4,208.90
  4. Step 4: Simplify right side
    10,782.86x = 68,028,127.87
  5. Step 5: Solve for x
    x = 68,028,127.87/10,782.86
  6. Step 6: Final answer
    x = 6,308.92

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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.