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Finding the Fourth Proportional to 11,537.99, 17,307.07 and 4,142.52

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Solution

The fourth proportional to 11,537.99, 17,307.07 and 4,142.52 is: 6,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.99 : 17,307.07 = 4,142.52 : x
  2. Step 2: Convert to fraction form
    11,537.99/17,307.07 = 4,142.52/x
  3. Step 3: Cross multiply
    11,537.99x = 17,307.07 × 4,142.52
  4. Step 4: Simplify right side
    11,537.99x = 71,694,824.58
  5. Step 5: Solve for x
    x = 71,694,824.58/11,537.99
  6. Step 6: Final answer
    x = 6,213.80

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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.