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Finding the Fourth Proportional to 11,077.46, 16,605.41 and 6,136.76

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Solution

The fourth proportional to 11,077.46, 16,605.41 and 6,136.76 is: 9,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.46 : 16,605.41 = 6,136.76 : x
  2. Step 2: Convert to fraction form
    11,077.46/16,605.41 = 6,136.76/x
  3. Step 3: Cross multiply
    11,077.46x = 16,605.41 × 6,136.76
  4. Step 4: Simplify right side
    11,077.46x = 101,903,426.70
  5. Step 5: Solve for x
    x = 101,903,426.70/11,077.46
  6. Step 6: Final answer
    x = 9,199.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.