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Finding the Fourth Proportional to 11,753.09, 17,630.23 and 3,854.91

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Solution

The fourth proportional to 11,753.09, 17,630.23 and 3,854.91 is: 5,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.09 : 17,630.23 = 3,854.91 : x
  2. Step 2: Convert to fraction form
    11,753.09/17,630.23 = 3,854.91/x
  3. Step 3: Cross multiply
    11,753.09x = 17,630.23 × 3,854.91
  4. Step 4: Simplify right side
    11,753.09x = 67,962,886.58
  5. Step 5: Solve for x
    x = 67,962,886.58/11,753.09
  6. Step 6: Final answer
    x = 5,782.55

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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.