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Finding the Fourth Proportional to 10,933.80, 16,402.14 and 3,143.40

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Solution

The fourth proportional to 10,933.80, 16,402.14 and 3,143.40 is: 4,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.80 : 16,402.14 = 3,143.40 : x
  2. Step 2: Convert to fraction form
    10,933.80/16,402.14 = 3,143.40/x
  3. Step 3: Cross multiply
    10,933.80x = 16,402.14 × 3,143.40
  4. Step 4: Simplify right side
    10,933.80x = 51,558,486.88
  5. Step 5: Solve for x
    x = 51,558,486.88/10,933.80
  6. Step 6: Final answer
    x = 4,715.51

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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.