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Finding the Fourth Proportional to 13,072.16, 18,042.21 and 7,765.96

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Solution

The fourth proportional to 13,072.16, 18,042.21 and 7,765.96 is: 10,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.16 : 18,042.21 = 7,765.96 : x
  2. Step 2: Convert to fraction form
    13,072.16/18,042.21 = 7,765.96/x
  3. Step 3: Cross multiply
    13,072.16x = 18,042.21 × 7,765.96
  4. Step 4: Simplify right side
    13,072.16x = 140,114,952.13
  5. Step 5: Solve for x
    x = 140,114,952.13/13,072.16
  6. Step 6: Final answer
    x = 10,718.58

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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.