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Finding the Fourth Proportional to 11,766.47, 17,636.94 and 5,522.58

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Solution

The fourth proportional to 11,766.47, 17,636.94 and 5,522.58 is: 8,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.47 : 17,636.94 = 5,522.58 : x
  2. Step 2: Convert to fraction form
    11,766.47/17,636.94 = 5,522.58/x
  3. Step 3: Cross multiply
    11,766.47x = 17,636.94 × 5,522.58
  4. Step 4: Simplify right side
    11,766.47x = 97,401,412.11
  5. Step 5: Solve for x
    x = 97,401,412.11/11,766.47
  6. Step 6: Final answer
    x = 8,277.88

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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.