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Finding the Fourth Proportional to 12,795.57, 17,658.77 and 7,759.98

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Solution

The fourth proportional to 12,795.57, 17,658.77 and 7,759.98 is: 10,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.57 : 17,658.77 = 7,759.98 : x
  2. Step 2: Convert to fraction form
    12,795.57/17,658.77 = 7,759.98/x
  3. Step 3: Cross multiply
    12,795.57x = 17,658.77 × 7,759.98
  4. Step 4: Simplify right side
    12,795.57x = 137,031,663.22
  5. Step 5: Solve for x
    x = 137,031,663.22/12,795.57
  6. Step 6: Final answer
    x = 10,709.31

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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.