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Finding the Fourth Proportional to 12,765.87, 17,617.29 and 7,730.97

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Solution

The fourth proportional to 12,765.87, 17,617.29 and 7,730.97 is: 10,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.87 : 17,617.29 = 7,730.97 : x
  2. Step 2: Convert to fraction form
    12,765.87/17,617.29 = 7,730.97/x
  3. Step 3: Cross multiply
    12,765.87x = 17,617.29 × 7,730.97
  4. Step 4: Simplify right side
    12,765.87x = 136,198,740.47
  5. Step 5: Solve for x
    x = 136,198,740.47/12,765.87
  6. Step 6: Final answer
    x = 10,668.97

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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.