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Finding the Fourth Proportional to 10,702.99, 14,769.60 and 5,922.84

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Solution

The fourth proportional to 10,702.99, 14,769.60 and 5,922.84 is: 8,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.99 : 14,769.60 = 5,922.84 : x
  2. Step 2: Convert to fraction form
    10,702.99/14,769.60 = 5,922.84/x
  3. Step 3: Cross multiply
    10,702.99x = 14,769.60 × 5,922.84
  4. Step 4: Simplify right side
    10,702.99x = 87,478,010.84
  5. Step 5: Solve for x
    x = 87,478,010.84/10,702.99
  6. Step 6: Final answer
    x = 8,173.23

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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.