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Finding the Fourth Proportional to 10,675.84, 16,042.92 and 6,294.56

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Solution

The fourth proportional to 10,675.84, 16,042.92 and 6,294.56 is: 9,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.84 : 16,042.92 = 6,294.56 : x
  2. Step 2: Convert to fraction form
    10,675.84/16,042.92 = 6,294.56/x
  3. Step 3: Cross multiply
    10,675.84x = 16,042.92 × 6,294.56
  4. Step 4: Simplify right side
    10,675.84x = 100,983,122.52
  5. Step 5: Solve for x
    x = 100,983,122.52/10,675.84
  6. Step 6: Final answer
    x = 9,459.03

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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.