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Finding the Fourth Proportional to 12,865.66, 17,753.37 and 7,200.11

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Solution

The fourth proportional to 12,865.66, 17,753.37 and 7,200.11 is: 9,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.66 : 17,753.37 = 7,200.11 : x
  2. Step 2: Convert to fraction form
    12,865.66/17,753.37 = 7,200.11/x
  3. Step 3: Cross multiply
    12,865.66x = 17,753.37 × 7,200.11
  4. Step 4: Simplify right side
    12,865.66x = 127,826,216.87
  5. Step 5: Solve for x
    x = 127,826,216.87/12,865.66
  6. Step 6: Final answer
    x = 9,935.46

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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.