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Finding the Fourth Proportional to 12,977.27, 17,906.71 and 7,310.88

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Solution

The fourth proportional to 12,977.27, 17,906.71 and 7,310.88 is: 10,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.27 : 17,906.71 = 7,310.88 : x
  2. Step 2: Convert to fraction form
    12,977.27/17,906.71 = 7,310.88/x
  3. Step 3: Cross multiply
    12,977.27x = 17,906.71 × 7,310.88
  4. Step 4: Simplify right side
    12,977.27x = 130,913,808.00
  5. Step 5: Solve for x
    x = 130,913,808.00/12,977.27
  6. Step 6: Final answer
    x = 10,087.93

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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.