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Finding the Fourth Proportional to 11,234.30, 16,854.55 and 4,909.71

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Solution

The fourth proportional to 11,234.30, 16,854.55 and 4,909.71 is: 7,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.30 : 16,854.55 = 4,909.71 : x
  2. Step 2: Convert to fraction form
    11,234.30/16,854.55 = 4,909.71/x
  3. Step 3: Cross multiply
    11,234.30x = 16,854.55 × 4,909.71
  4. Step 4: Simplify right side
    11,234.30x = 82,751,003.61
  5. Step 5: Solve for x
    x = 82,751,003.61/11,234.30
  6. Step 6: Final answer
    x = 7,365.93

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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.