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Finding the Fourth Proportional to 12,830.76, 17,705.37 and 7,452.09

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Solution

The fourth proportional to 12,830.76, 17,705.37 and 7,452.09 is: 10,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.76 : 17,705.37 = 7,452.09 : x
  2. Step 2: Convert to fraction form
    12,830.76/17,705.37 = 7,452.09/x
  3. Step 3: Cross multiply
    12,830.76x = 17,705.37 × 7,452.09
  4. Step 4: Simplify right side
    12,830.76x = 131,942,010.72
  5. Step 5: Solve for x
    x = 131,942,010.72/12,830.76
  6. Step 6: Final answer
    x = 10,283.26

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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.