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Finding the Fourth Proportional to 10,830.67, 16,245.90 and 3,434.94

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Solution

The fourth proportional to 10,830.67, 16,245.90 and 3,434.94 is: 5,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.67 : 16,245.90 = 3,434.94 : x
  2. Step 2: Convert to fraction form
    10,830.67/16,245.90 = 3,434.94/x
  3. Step 3: Cross multiply
    10,830.67x = 16,245.90 × 3,434.94
  4. Step 4: Simplify right side
    10,830.67x = 55,803,691.75
  5. Step 5: Solve for x
    x = 55,803,691.75/10,830.67
  6. Step 6: Final answer
    x = 5,152.38

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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.