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Finding the Fourth Proportional to 10,294.03, 14,205.87 and 6,045.14

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Solution

The fourth proportional to 10,294.03, 14,205.87 and 6,045.14 is: 8,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.03 : 14,205.87 = 6,045.14 : x
  2. Step 2: Convert to fraction form
    10,294.03/14,205.87 = 6,045.14/x
  3. Step 3: Cross multiply
    10,294.03x = 14,205.87 × 6,045.14
  4. Step 4: Simplify right side
    10,294.03x = 85,876,472.97
  5. Step 5: Solve for x
    x = 85,876,472.97/10,294.03
  6. Step 6: Final answer
    x = 8,342.36

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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.