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Finding the Fourth Proportional to 11,285.64, 16,930.57 and 5,045.89

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Solution

The fourth proportional to 11,285.64, 16,930.57 and 5,045.89 is: 7,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.64 : 16,930.57 = 5,045.89 : x
  2. Step 2: Convert to fraction form
    11,285.64/16,930.57 = 5,045.89/x
  3. Step 3: Cross multiply
    11,285.64x = 16,930.57 × 5,045.89
  4. Step 4: Simplify right side
    11,285.64x = 85,429,793.86
  5. Step 5: Solve for x
    x = 85,429,793.86/11,285.64
  6. Step 6: Final answer
    x = 7,569.78

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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.