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Finding the Fourth Proportional to 10,943.88, 16,421.88 and 6,786.12

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Solution

The fourth proportional to 10,943.88, 16,421.88 and 6,786.12 is: 10,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.88 : 16,421.88 = 6,786.12 : x
  2. Step 2: Convert to fraction form
    10,943.88/16,421.88 = 6,786.12/x
  3. Step 3: Cross multiply
    10,943.88x = 16,421.88 × 6,786.12
  4. Step 4: Simplify right side
    10,943.88x = 111,440,848.31
  5. Step 5: Solve for x
    x = 111,440,848.31/10,943.88
  6. Step 6: Final answer
    x = 10,182.94

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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.