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Finding the Fourth Proportional to 11,653.85, 16,081.88 and 6,348.57

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Solution

The fourth proportional to 11,653.85, 16,081.88 and 6,348.57 is: 8,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.85 : 16,081.88 = 6,348.57 : x
  2. Step 2: Convert to fraction form
    11,653.85/16,081.88 = 6,348.57/x
  3. Step 3: Cross multiply
    11,653.85x = 16,081.88 × 6,348.57
  4. Step 4: Simplify right side
    11,653.85x = 102,096,909.17
  5. Step 5: Solve for x
    x = 102,096,909.17/11,653.85
  6. Step 6: Final answer
    x = 8,760.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.