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Finding the Fourth Proportional to 10,927.80, 16,394.13 and 3,136

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Solution

The fourth proportional to 10,927.80, 16,394.13 and 3,136 is: 4,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.80 : 16,394.13 = 3,136 : x
  2. Step 2: Convert to fraction form
    10,927.80/16,394.13 = 3,136/x
  3. Step 3: Cross multiply
    10,927.80x = 16,394.13 × 3,136
  4. Step 4: Simplify right side
    10,927.80x = 51,411,991.68
  5. Step 5: Solve for x
    x = 51,411,991.68/10,927.80
  6. Step 6: Final answer
    x = 4,704.70

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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.