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Finding the Fourth Proportional to 10,675.68, 16,019.34 and 7,168.62

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Solution

The fourth proportional to 10,675.68, 16,019.34 and 7,168.62 is: 10,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.68 : 16,019.34 = 7,168.62 : x
  2. Step 2: Convert to fraction form
    10,675.68/16,019.34 = 7,168.62/x
  3. Step 3: Cross multiply
    10,675.68x = 16,019.34 × 7,168.62
  4. Step 4: Simplify right side
    10,675.68x = 114,836,561.11
  5. Step 5: Solve for x
    x = 114,836,561.11/10,675.68
  6. Step 6: Final answer
    x = 10,756.84

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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.