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Finding the Fourth Proportional to 12,986.16, 17,930.50 and 7,957.25

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Solution

The fourth proportional to 12,986.16, 17,930.50 and 7,957.25 is: 10,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.16 : 17,930.50 = 7,957.25 : x
  2. Step 2: Convert to fraction form
    12,986.16/17,930.50 = 7,957.25/x
  3. Step 3: Cross multiply
    12,986.16x = 17,930.50 × 7,957.25
  4. Step 4: Simplify right side
    12,986.16x = 142,677,471.13
  5. Step 5: Solve for x
    x = 142,677,471.13/12,986.16
  6. Step 6: Final answer
    x = 10,986.89

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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.