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Finding the Fourth Proportional to 10,911.81, 16,368.37 and 3,416.78

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Solution

The fourth proportional to 10,911.81, 16,368.37 and 3,416.78 is: 5,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.81 : 16,368.37 = 3,416.78 : x
  2. Step 2: Convert to fraction form
    10,911.81/16,368.37 = 3,416.78/x
  3. Step 3: Cross multiply
    10,911.81x = 16,368.37 × 3,416.78
  4. Step 4: Simplify right side
    10,911.81x = 55,927,028.86
  5. Step 5: Solve for x
    x = 55,927,028.86/10,911.81
  6. Step 6: Final answer
    x = 5,125.37

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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.