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Finding the Fourth Proportional to 10,711.36, 16,068.93 and 4,137

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Solution

The fourth proportional to 10,711.36, 16,068.93 and 4,137 is: 6,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.36 : 16,068.93 = 4,137 : x
  2. Step 2: Convert to fraction form
    10,711.36/16,068.93 = 4,137/x
  3. Step 3: Cross multiply
    10,711.36x = 16,068.93 × 4,137
  4. Step 4: Simplify right side
    10,711.36x = 66,477,163.41
  5. Step 5: Solve for x
    x = 66,477,163.41/10,711.36
  6. Step 6: Final answer
    x = 6,206.23

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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.