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Finding the Fourth Proportional to 11,830.60, 17,752.30 and 5,257.80

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Solution

The fourth proportional to 11,830.60, 17,752.30 and 5,257.80 is: 7,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.60 : 17,752.30 = 5,257.80 : x
  2. Step 2: Convert to fraction form
    11,830.60/17,752.30 = 5,257.80/x
  3. Step 3: Cross multiply
    11,830.60x = 17,752.30 × 5,257.80
  4. Step 4: Simplify right side
    11,830.60x = 93,338,042.94
  5. Step 5: Solve for x
    x = 93,338,042.94/11,830.60
  6. Step 6: Final answer
    x = 7,889.54

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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.