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Finding the Fourth Proportional to 10,817.38, 14,927.98 and 5,849.38

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Solution

The fourth proportional to 10,817.38, 14,927.98 and 5,849.38 is: 8,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.38 : 14,927.98 = 5,849.38 : x
  2. Step 2: Convert to fraction form
    10,817.38/14,927.98 = 5,849.38/x
  3. Step 3: Cross multiply
    10,817.38x = 14,927.98 × 5,849.38
  4. Step 4: Simplify right side
    10,817.38x = 87,319,353.01
  5. Step 5: Solve for x
    x = 87,319,353.01/10,817.38
  6. Step 6: Final answer
    x = 8,072.14

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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.