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Finding the Fourth Proportional to 10,774.68, 16,148.81 and 5,145.90

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Solution

The fourth proportional to 10,774.68, 16,148.81 and 5,145.90 is: 7,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.68 : 16,148.81 = 5,145.90 : x
  2. Step 2: Convert to fraction form
    10,774.68/16,148.81 = 5,145.90/x
  3. Step 3: Cross multiply
    10,774.68x = 16,148.81 × 5,145.90
  4. Step 4: Simplify right side
    10,774.68x = 83,100,135.65
  5. Step 5: Solve for x
    x = 83,100,135.65/10,774.68
  6. Step 6: Final answer
    x = 7,712.54

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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.