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Finding the Fourth Proportional to 11,140.80, 16,678.80 and 10,816.80

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Solution

The fourth proportional to 11,140.80, 16,678.80 and 10,816.80 is: 16,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.80 : 16,678.80 = 10,816.80 : x
  2. Step 2: Convert to fraction form
    11,140.80/16,678.80 = 10,816.80/x
  3. Step 3: Cross multiply
    11,140.80x = 16,678.80 × 10,816.80
  4. Step 4: Simplify right side
    11,140.80x = 180,411,243.84
  5. Step 5: Solve for x
    x = 180,411,243.84/11,140.80
  6. Step 6: Final answer
    x = 16,193.74

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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.