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Finding the Fourth Proportional to 12,762.69, 17,609.93 and 7,456.48

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Solution

The fourth proportional to 12,762.69, 17,609.93 and 7,456.48 is: 10,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.69 : 17,609.93 = 7,456.48 : x
  2. Step 2: Convert to fraction form
    12,762.69/17,609.93 = 7,456.48/x
  3. Step 3: Cross multiply
    12,762.69x = 17,609.93 × 7,456.48
  4. Step 4: Simplify right side
    12,762.69x = 131,308,009.54
  5. Step 5: Solve for x
    x = 131,308,009.54/12,762.69
  6. Step 6: Final answer
    x = 10,288.43

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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.