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Finding the Fourth Proportional to 10,814.88, 16,222.32 and 3,800.40

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Solution

The fourth proportional to 10,814.88, 16,222.32 and 3,800.40 is: 5,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.88 : 16,222.32 = 3,800.40 : x
  2. Step 2: Convert to fraction form
    10,814.88/16,222.32 = 3,800.40/x
  3. Step 3: Cross multiply
    10,814.88x = 16,222.32 × 3,800.40
  4. Step 4: Simplify right side
    10,814.88x = 61,651,304.93
  5. Step 5: Solve for x
    x = 61,651,304.93/10,814.88
  6. Step 6: Final answer
    x = 5,700.60

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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.