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Finding the Fourth Proportional to 11,627.23, 16,045.91 and 6,847.63

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Solution

The fourth proportional to 11,627.23, 16,045.91 and 6,847.63 is: 9,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.23 : 16,045.91 = 6,847.63 : x
  2. Step 2: Convert to fraction form
    11,627.23/16,045.91 = 6,847.63/x
  3. Step 3: Cross multiply
    11,627.23x = 16,045.91 × 6,847.63
  4. Step 4: Simplify right side
    11,627.23x = 109,876,454.69
  5. Step 5: Solve for x
    x = 109,876,454.69/11,627.23
  6. Step 6: Final answer
    x = 9,449.93

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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.