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Finding the Fourth Proportional to 10,728.38, 14,805.77 and 6,014.18

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Solution

The fourth proportional to 10,728.38, 14,805.77 and 6,014.18 is: 8,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.38 : 14,805.77 = 6,014.18 : x
  2. Step 2: Convert to fraction form
    10,728.38/14,805.77 = 6,014.18/x
  3. Step 3: Cross multiply
    10,728.38x = 14,805.77 × 6,014.18
  4. Step 4: Simplify right side
    10,728.38x = 89,044,461.72
  5. Step 5: Solve for x
    x = 89,044,461.72/10,728.38
  6. Step 6: Final answer
    x = 8,299.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.