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Finding the Fourth Proportional to 12,935.57, 17,847.92 and 7,897.95

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Solution

The fourth proportional to 12,935.57, 17,847.92 and 7,897.95 is: 10,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,935.57 : 17,847.92 = 7,897.95 : x
  2. Step 2: Convert to fraction form
    12,935.57/17,847.92 = 7,897.95/x
  3. Step 3: Cross multiply
    12,935.57x = 17,847.92 × 7,897.95
  4. Step 4: Simplify right side
    12,935.57x = 140,961,940.27
  5. Step 5: Solve for x
    x = 140,961,940.27/12,935.57
  6. Step 6: Final answer
    x = 10,897.24

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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.