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Finding the Fourth Proportional to 7,559.80, 10,432.83 and 4,202.59

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Solution

The fourth proportional to 7,559.80, 10,432.83 and 4,202.59 is: 5,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.80 : 10,432.83 = 4,202.59 : x
  2. Step 2: Convert to fraction form
    7,559.80/10,432.83 = 4,202.59/x
  3. Step 3: Cross multiply
    7,559.80x = 10,432.83 × 4,202.59
  4. Step 4: Simplify right side
    7,559.80x = 43,844,907.03
  5. Step 5: Solve for x
    x = 43,844,907.03/7,559.80
  6. Step 6: Final answer
    x = 5,799.74

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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.