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Finding the Fourth Proportional to 11,763.60, 17,646.97 and 6,217.17

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Solution

The fourth proportional to 11,763.60, 17,646.97 and 6,217.17 is: 9,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.60 : 17,646.97 = 6,217.17 : x
  2. Step 2: Convert to fraction form
    11,763.60/17,646.97 = 6,217.17/x
  3. Step 3: Cross multiply
    11,763.60x = 17,646.97 × 6,217.17
  4. Step 4: Simplify right side
    11,763.60x = 109,714,212.47
  5. Step 5: Solve for x
    x = 109,714,212.47/11,763.60
  6. Step 6: Final answer
    x = 9,326.58

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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.