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Finding the Fourth Proportional to 10,800.42, 16,201.98 and 4,225.74

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Solution

The fourth proportional to 10,800.42, 16,201.98 and 4,225.74 is: 6,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.42 : 16,201.98 = 4,225.74 : x
  2. Step 2: Convert to fraction form
    10,800.42/16,201.98 = 4,225.74/x
  3. Step 3: Cross multiply
    10,800.42x = 16,201.98 × 4,225.74
  4. Step 4: Simplify right side
    10,800.42x = 68,465,354.97
  5. Step 5: Solve for x
    x = 68,465,354.97/10,800.42
  6. Step 6: Final answer
    x = 6,339.14

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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.