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Finding the Fourth Proportional to 7,559.89, 10,431.85 and 4,202.16

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Solution

The fourth proportional to 7,559.89, 10,431.85 and 4,202.16 is: 5,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.89 : 10,431.85 = 4,202.16 : x
  2. Step 2: Convert to fraction form
    7,559.89/10,431.85 = 4,202.16/x
  3. Step 3: Cross multiply
    7,559.89x = 10,431.85 × 4,202.16
  4. Step 4: Simplify right side
    7,559.89x = 43,836,253.17
  5. Step 5: Solve for x
    x = 43,836,253.17/7,559.89
  6. Step 6: Final answer
    x = 5,798.53

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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.