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Finding the Fourth Proportional to 7,729.82, 11,602.29 and 5,542.46

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Solution

The fourth proportional to 7,729.82, 11,602.29 and 5,542.46 is: 8,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.82 : 11,602.29 = 5,542.46 : x
  2. Step 2: Convert to fraction form
    7,729.82/11,602.29 = 5,542.46/x
  3. Step 3: Cross multiply
    7,729.82x = 11,602.29 × 5,542.46
  4. Step 4: Simplify right side
    7,729.82x = 64,305,228.23
  5. Step 5: Solve for x
    x = 64,305,228.23/7,729.82
  6. Step 6: Final answer
    x = 8,319.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.