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Finding the Fourth Proportional to 10,716.53, 16,064.16 and 5,435.83

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Solution

The fourth proportional to 10,716.53, 16,064.16 and 5,435.83 is: 8,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.53 : 16,064.16 = 5,435.83 : x
  2. Step 2: Convert to fraction form
    10,716.53/16,064.16 = 5,435.83/x
  3. Step 3: Cross multiply
    10,716.53x = 16,064.16 × 5,435.83
  4. Step 4: Simplify right side
    10,716.53x = 87,322,015.67
  5. Step 5: Solve for x
    x = 87,322,015.67/10,716.53
  6. Step 6: Final answer
    x = 8,148.35

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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.