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Finding the Fourth Proportional to 12,763.85, 17,610.35 and 7,458.53

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Solution

The fourth proportional to 12,763.85, 17,610.35 and 7,458.53 is: 10,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.85 : 17,610.35 = 7,458.53 : x
  2. Step 2: Convert to fraction form
    12,763.85/17,610.35 = 7,458.53/x
  3. Step 3: Cross multiply
    12,763.85x = 17,610.35 × 7,458.53
  4. Step 4: Simplify right side
    12,763.85x = 131,347,198.44
  5. Step 5: Solve for x
    x = 131,347,198.44/12,763.85
  6. Step 6: Final answer
    x = 10,290.57

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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.