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Finding the Fourth Proportional to 10,740.65, 16,101.24 and 3,813.53

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Solution

The fourth proportional to 10,740.65, 16,101.24 and 3,813.53 is: 5,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.65 : 16,101.24 = 3,813.53 : x
  2. Step 2: Convert to fraction form
    10,740.65/16,101.24 = 3,813.53/x
  3. Step 3: Cross multiply
    10,740.65x = 16,101.24 × 3,813.53
  4. Step 4: Simplify right side
    10,740.65x = 61,402,481.27
  5. Step 5: Solve for x
    x = 61,402,481.27/10,740.65
  6. Step 6: Final answer
    x = 5,716.83

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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.