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Finding the Fourth Proportional to 7,436.80, 10,201.59 and 7,034.59

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Solution

The fourth proportional to 7,436.80, 10,201.59 and 7,034.59 is: 9,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.80 : 10,201.59 = 7,034.59 : x
  2. Step 2: Convert to fraction form
    7,436.80/10,201.59 = 7,034.59/x
  3. Step 3: Cross multiply
    7,436.80x = 10,201.59 × 7,034.59
  4. Step 4: Simplify right side
    7,436.80x = 71,764,003.00
  5. Step 5: Solve for x
    x = 71,764,003.00/7,436.80
  6. Step 6: Final answer
    x = 9,649.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.