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Finding the Fourth Proportional to 11,636.82, 16,057.59 and 6,599.43

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Solution

The fourth proportional to 11,636.82, 16,057.59 and 6,599.43 is: 9,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.82 : 16,057.59 = 6,599.43 : x
  2. Step 2: Convert to fraction form
    11,636.82/16,057.59 = 6,599.43/x
  3. Step 3: Cross multiply
    11,636.82x = 16,057.59 × 6,599.43
  4. Step 4: Simplify right side
    11,636.82x = 105,970,941.17
  5. Step 5: Solve for x
    x = 105,970,941.17/11,636.82
  6. Step 6: Final answer
    x = 9,106.52

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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.