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Finding the Fourth Proportional to 10,116.14, 13,957.92 and 6,136.46

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Solution

The fourth proportional to 10,116.14, 13,957.92 and 6,136.46 is: 8,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.14 : 13,957.92 = 6,136.46 : x
  2. Step 2: Convert to fraction form
    10,116.14/13,957.92 = 6,136.46/x
  3. Step 3: Cross multiply
    10,116.14x = 13,957.92 × 6,136.46
  4. Step 4: Simplify right side
    10,116.14x = 85,652,217.76
  5. Step 5: Solve for x
    x = 85,652,217.76/10,116.14
  6. Step 6: Final answer
    x = 8,466.89

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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.