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Finding the Fourth Proportional to 10,136.70, 13,990.96 and 5,946.30

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Solution

The fourth proportional to 10,136.70, 13,990.96 and 5,946.30 is: 8,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.70 : 13,990.96 = 5,946.30 : x
  2. Step 2: Convert to fraction form
    10,136.70/13,990.96 = 5,946.30/x
  3. Step 3: Cross multiply
    10,136.70x = 13,990.96 × 5,946.30
  4. Step 4: Simplify right side
    10,136.70x = 83,194,445.45
  5. Step 5: Solve for x
    x = 83,194,445.45/10,136.70
  6. Step 6: Final answer
    x = 8,207.25

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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.