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Finding the Fourth Proportional to 10,702.73, 14,769.54 and 5,923.10

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Solution

The fourth proportional to 10,702.73, 14,769.54 and 5,923.10 is: 8,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.73 : 14,769.54 = 5,923.10 : x
  2. Step 2: Convert to fraction form
    10,702.73/14,769.54 = 5,923.10/x
  3. Step 3: Cross multiply
    10,702.73x = 14,769.54 × 5,923.10
  4. Step 4: Simplify right side
    10,702.73x = 87,481,462.37
  5. Step 5: Solve for x
    x = 87,481,462.37/10,702.73
  6. Step 6: Final answer
    x = 8,173.75

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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.