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Finding the Fourth Proportional to 7,559.83, 10,433.42 and 4,202.98

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Solution

The fourth proportional to 7,559.83, 10,433.42 and 4,202.98 is: 5,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.83 : 10,433.42 = 4,202.98 : x
  2. Step 2: Convert to fraction form
    7,559.83/10,433.42 = 4,202.98/x
  3. Step 3: Cross multiply
    7,559.83x = 10,433.42 × 4,202.98
  4. Step 4: Simplify right side
    7,559.83x = 43,851,440.02
  5. Step 5: Solve for x
    x = 43,851,440.02/7,559.83
  6. Step 6: Final answer
    x = 5,800.59

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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.