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Finding the Fourth Proportional to 10,923.30, 16,368.15 and 8,136.90

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Solution

The fourth proportional to 10,923.30, 16,368.15 and 8,136.90 is: 12,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.30 : 16,368.15 = 8,136.90 : x
  2. Step 2: Convert to fraction form
    10,923.30/16,368.15 = 8,136.90/x
  3. Step 3: Cross multiply
    10,923.30x = 16,368.15 × 8,136.90
  4. Step 4: Simplify right side
    10,923.30x = 133,185,999.74
  5. Step 5: Solve for x
    x = 133,185,999.74/10,923.30
  6. Step 6: Final answer
    x = 12,192.84

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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.